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Finding the Fourth Proportional to 48,513,565.64, 66,978,934.56 and 30,882,416.30

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Solution

The fourth proportional to 48,513,565.64, 66,978,934.56 and 30,882,416.30 is: 42,636,967.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,513,565.64 : 66,978,934.56 = 30,882,416.30 : x
  2. Step 2: Convert to fraction form
    48,513,565.64/66,978,934.56 = 30,882,416.30/x
  3. Step 3: Cross multiply
    48,513,565.64x = 66,978,934.56 × 30,882,416.30
  4. Step 4: Simplify right side
    48,513,565.64x = 2,068,471,340,412,377.50
  5. Step 5: Solve for x
    x = 2,068,471,340,412,377.50/48,513,565.64
  6. Step 6: Final answer
    x = 42,636,967.89

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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.