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Finding the Fourth Proportional to 103,057, 154,528.70 and 31,959.96

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Solution

The fourth proportional to 103,057, 154,528.70 and 31,959.96 is: 47,922.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,057 : 154,528.70 = 31,959.96 : x
  2. Step 2: Convert to fraction form
    103,057/154,528.70 = 31,959.96/x
  3. Step 3: Cross multiply
    103,057x = 154,528.70 × 31,959.96
  4. Step 4: Simplify right side
    103,057x = 4,938,731,070.85
  5. Step 5: Solve for x
    x = 4,938,731,070.85/103,057
  6. Step 6: Final answer
    x = 47,922.33

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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.