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Finding the Fourth Proportional to 157,123.54, 216,826.14 and 85,501.90

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Solution

The fourth proportional to 157,123.54, 216,826.14 and 85,501.90 is: 117,990.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,123.54 : 216,826.14 = 85,501.90 : x
  2. Step 2: Convert to fraction form
    157,123.54/216,826.14 = 85,501.90/x
  3. Step 3: Cross multiply
    157,123.54x = 216,826.14 × 85,501.90
  4. Step 4: Simplify right side
    157,123.54x = 18,539,046,939.67
  5. Step 5: Solve for x
    x = 18,539,046,939.67/157,123.54
  6. Step 6: Final answer
    x = 117,990.26

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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.