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Finding the Fourth Proportional to 116,557.92, 160,902 and 89,690.40

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Solution

The fourth proportional to 116,557.92, 160,902 and 89,690.40 is: 123,812.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,557.92 : 160,902 = 89,690.40 : x
  2. Step 2: Convert to fraction form
    116,557.92/160,902 = 89,690.40/x
  3. Step 3: Cross multiply
    116,557.92x = 160,902 × 89,690.40
  4. Step 4: Simplify right side
    116,557.92x = 14,431,364,740.80
  5. Step 5: Solve for x
    x = 14,431,364,740.80/116,557.92
  6. Step 6: Final answer
    x = 123,812.82

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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.