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Finding the Fourth Proportional to 9,904,909.20, 14,857,363.80 and 7,665,421.20

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Solution

The fourth proportional to 9,904,909.20, 14,857,363.80 and 7,665,421.20 is: 11,498,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904,909.20 : 14,857,363.80 = 7,665,421.20 : x
  2. Step 2: Convert to fraction form
    9,904,909.20/14,857,363.80 = 7,665,421.20/x
  3. Step 3: Cross multiply
    9,904,909.20x = 14,857,363.80 × 7,665,421.20
  4. Step 4: Simplify right side
    9,904,909.20x = 113,887,951,448,632.56
  5. Step 5: Solve for x
    x = 113,887,951,448,632.56/9,904,909.20
  6. Step 6: Final answer
    x = 11,498,131.80

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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.