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Finding the Fourth Proportional to 98,458.88, 135,871.36 and 53,747.20

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Solution

The fourth proportional to 98,458.88, 135,871.36 and 53,747.20 is: 74,170.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,458.88 : 135,871.36 = 53,747.20 : x
  2. Step 2: Convert to fraction form
    98,458.88/135,871.36 = 53,747.20/x
  3. Step 3: Cross multiply
    98,458.88x = 135,871.36 × 53,747.20
  4. Step 4: Simplify right side
    98,458.88x = 7,302,705,160.19
  5. Step 5: Solve for x
    x = 7,302,705,160.19/98,458.88
  6. Step 6: Final answer
    x = 74,170.10

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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.