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Finding the Fourth Proportional to 189,587.92, 284,397 and 64,930

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Solution

The fourth proportional to 189,587.92, 284,397 and 64,930 is: 97,400.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,587.92 : 284,397 = 64,930 : x
  2. Step 2: Convert to fraction form
    189,587.92/284,397 = 64,930/x
  3. Step 3: Cross multiply
    189,587.92x = 284,397 × 64,930
  4. Step 4: Simplify right side
    189,587.92x = 18,465,897,210
  5. Step 5: Solve for x
    x = 18,465,897,210/189,587.92
  6. Step 6: Final answer
    x = 97,400.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.