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Finding the Fourth Proportional to 157,060.82, 216,746.52 and 85,440.90

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Solution

The fourth proportional to 157,060.82, 216,746.52 and 85,440.90 is: 117,909.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,060.82 : 216,746.52 = 85,440.90 : x
  2. Step 2: Convert to fraction form
    157,060.82/216,746.52 = 85,440.90/x
  3. Step 3: Cross multiply
    157,060.82x = 216,746.52 × 85,440.90
  4. Step 4: Simplify right side
    157,060.82x = 18,519,017,740.67
  5. Step 5: Solve for x
    x = 18,519,017,740.67/157,060.82
  6. Step 6: Final answer
    x = 117,909.85

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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.