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Finding the Fourth Proportional to 98,778.71, 136,314.63 and 53,456.71

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Solution

The fourth proportional to 98,778.71, 136,314.63 and 53,456.71 is: 73,770.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,778.71 : 136,314.63 = 53,456.71 : x
  2. Step 2: Convert to fraction form
    98,778.71/136,314.63 = 53,456.71/x
  3. Step 3: Cross multiply
    98,778.71x = 136,314.63 × 53,456.71
  4. Step 4: Simplify right side
    98,778.71x = 7,286,931,209.91
  5. Step 5: Solve for x
    x = 7,286,931,209.91/98,778.71
  6. Step 6: Final answer
    x = 73,770.26

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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.