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Finding the Fourth Proportional to 213,561,971.80, 320,342,957.70 and 52,003,907.80

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Solution

The fourth proportional to 213,561,971.80, 320,342,957.70 and 52,003,907.80 is: 78,005,861.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,561,971.80 : 320,342,957.70 = 52,003,907.80 : x
  2. Step 2: Convert to fraction form
    213,561,971.80/320,342,957.70 = 52,003,907.80/x
  3. Step 3: Cross multiply
    213,561,971.80x = 320,342,957.70 × 52,003,907.80
  4. Step 4: Simplify right side
    213,561,971.80x = 16,659,085,636,610,098
  5. Step 5: Solve for x
    x = 16,659,085,636,610,098/213,561,971.80
  6. Step 6: Final answer
    x = 78,005,861.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.