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Finding the Fourth Proportional to 98,761.80, 136,290.28 and 53,438.78

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Solution

The fourth proportional to 98,761.80, 136,290.28 and 53,438.78 is: 73,744.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,761.80 : 136,290.28 = 53,438.78 : x
  2. Step 2: Convert to fraction form
    98,761.80/136,290.28 = 53,438.78/x
  3. Step 3: Cross multiply
    98,761.80x = 136,290.28 × 53,438.78
  4. Step 4: Simplify right side
    98,761.80x = 7,283,186,289.06
  5. Step 5: Solve for x
    x = 7,283,186,289.06/98,761.80
  6. Step 6: Final answer
    x = 73,744.97

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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.