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Finding the Fourth Proportional to 260,097.52, 390,159.76 and 82,618.40

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Solution

The fourth proportional to 260,097.52, 390,159.76 and 82,618.40 is: 123,931.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,097.52 : 390,159.76 = 82,618.40 : x
  2. Step 2: Convert to fraction form
    260,097.52/390,159.76 = 82,618.40/x
  3. Step 3: Cross multiply
    260,097.52x = 390,159.76 × 82,618.40
  4. Step 4: Simplify right side
    260,097.52x = 32,234,375,115.58
  5. Step 5: Solve for x
    x = 32,234,375,115.58/260,097.52
  6. Step 6: Final answer
    x = 123,931.88

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1.5x scale

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.