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Finding the Fourth Proportional to 98,158.67, 147,229.80 and 38,978.45

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Solution

The fourth proportional to 98,158.67, 147,229.80 and 38,978.45 is: 58,464.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,158.67 : 147,229.80 = 38,978.45 : x
  2. Step 2: Convert to fraction form
    98,158.67/147,229.80 = 38,978.45/x
  3. Step 3: Cross multiply
    98,158.67x = 147,229.80 × 38,978.45
  4. Step 4: Simplify right side
    98,158.67x = 5,738,789,397.81
  5. Step 5: Solve for x
    x = 5,738,789,397.81/98,158.67
  6. Step 6: Final answer
    x = 58,464.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.