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Finding the Fourth Proportional to 191,962, 264,907.80 and 107,084.48

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Solution

The fourth proportional to 191,962, 264,907.80 and 107,084.48 is: 147,776.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,962 : 264,907.80 = 107,084.48 : x
  2. Step 2: Convert to fraction form
    191,962/264,907.80 = 107,084.48/x
  3. Step 3: Cross multiply
    191,962x = 264,907.80 × 107,084.48
  4. Step 4: Simplify right side
    191,962x = 28,367,514,010.94
  5. Step 5: Solve for x
    x = 28,367,514,010.94/191,962
  6. Step 6: Final answer
    x = 147,776.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.