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Finding the Fourth Proportional to 98,720.52, 136,233.80 and 53,398.46

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Solution

The fourth proportional to 98,720.52, 136,233.80 and 53,398.46 is: 73,689.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,720.52 : 136,233.80 = 53,398.46 : x
  2. Step 2: Convert to fraction form
    98,720.52/136,233.80 = 53,398.46/x
  3. Step 3: Cross multiply
    98,720.52x = 136,233.80 × 53,398.46
  4. Step 4: Simplify right side
    98,720.52x = 7,274,675,119.95
  5. Step 5: Solve for x
    x = 7,274,675,119.95/98,720.52
  6. Step 6: Final answer
    x = 73,689.59

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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.