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Finding the Fourth Proportional to 98,731.20, 136,248.80 and 54,019.20

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Solution

The fourth proportional to 98,731.20, 136,248.80 and 54,019.20 is: 74,546.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,731.20 : 136,248.80 = 54,019.20 : x
  2. Step 2: Convert to fraction form
    98,731.20/136,248.80 = 54,019.20/x
  3. Step 3: Cross multiply
    98,731.20x = 136,248.80 × 54,019.20
  4. Step 4: Simplify right side
    98,731.20x = 7,360,051,176.96
  5. Step 5: Solve for x
    x = 7,360,051,176.96/98,731.20
  6. Step 6: Final answer
    x = 74,546.36

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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.