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Finding the Fourth Proportional to 157,091.98, 216,780.44 and 85,472.28

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Solution

The fourth proportional to 157,091.98, 216,780.44 and 85,472.28 is: 117,948.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,091.98 : 216,780.44 = 85,472.28 : x
  2. Step 2: Convert to fraction form
    157,091.98/216,780.44 = 85,472.28/x
  3. Step 3: Cross multiply
    157,091.98x = 216,780.44 × 85,472.28
  4. Step 4: Simplify right side
    157,091.98x = 18,528,718,466.20
  5. Step 5: Solve for x
    x = 18,528,718,466.20/157,091.98
  6. Step 6: Final answer
    x = 117,948.21

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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.