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Finding the Fourth Proportional to 65,397.69, 98,154.86 and 30,357.09

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Solution

The fourth proportional to 65,397.69, 98,154.86 and 30,357.09 is: 45,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,397.69 : 98,154.86 = 30,357.09 : x
  2. Step 2: Convert to fraction form
    65,397.69/98,154.86 = 30,357.09/x
  3. Step 3: Cross multiply
    65,397.69x = 98,154.86 × 30,357.09
  4. Step 4: Simplify right side
    65,397.69x = 2,979,695,767.17
  5. Step 5: Solve for x
    x = 2,979,695,767.17/65,397.69
  6. Step 6: Final answer
    x = 45,562.71

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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.