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Finding the Fourth Proportional to 390,121.68, 585,122.72 and 123,847.68

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Solution

The fourth proportional to 390,121.68, 585,122.72 and 123,847.68 is: 185,752.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,121.68 : 585,122.72 = 123,847.68 : x
  2. Step 2: Convert to fraction form
    390,121.68/585,122.72 = 123,847.68/x
  3. Step 3: Cross multiply
    390,121.68x = 585,122.72 × 123,847.68
  4. Step 4: Simplify right side
    390,121.68x = 72,466,091,387.29
  5. Step 5: Solve for x
    x = 72,466,091,387.29/390,121.68
  6. Step 6: Final answer
    x = 185,752.54

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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.