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Finding the Fourth Proportional to 90,657.32, 125,006.24 and 61,981.66

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Solution

The fourth proportional to 90,657.32, 125,006.24 and 61,981.66 is: 85,465.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,657.32 : 125,006.24 = 61,981.66 : x
  2. Step 2: Convert to fraction form
    90,657.32/125,006.24 = 61,981.66/x
  3. Step 3: Cross multiply
    90,657.32x = 125,006.24 × 61,981.66
  4. Step 4: Simplify right side
    90,657.32x = 7,748,094,265.56
  5. Step 5: Solve for x
    x = 7,748,094,265.56/90,657.32
  6. Step 6: Final answer
    x = 85,465.73

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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.