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Finding the Fourth Proportional to 157,140.97, 216,900.31 and 102,701.07

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Solution

The fourth proportional to 157,140.97, 216,900.31 and 102,701.07 is: 141,757.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,140.97 : 216,900.31 = 102,701.07 : x
  2. Step 2: Convert to fraction form
    157,140.97/216,900.31 = 102,701.07/x
  3. Step 3: Cross multiply
    157,140.97x = 216,900.31 × 102,701.07
  4. Step 4: Simplify right side
    157,140.97x = 22,275,893,920.33
  5. Step 5: Solve for x
    x = 22,275,893,920.33/157,140.97
  6. Step 6: Final answer
    x = 141,757.39

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1.5x scale

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.