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Finding the Fourth Proportional to 98,489.60, 147,757.79 and 31,929.77

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Solution

The fourth proportional to 98,489.60, 147,757.79 and 31,929.77 is: 47,902.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,489.60 : 147,757.79 = 31,929.77 : x
  2. Step 2: Convert to fraction form
    98,489.60/147,757.79 = 31,929.77/x
  3. Step 3: Cross multiply
    98,489.60x = 147,757.79 × 31,929.77
  4. Step 4: Simplify right side
    98,489.60x = 4,717,872,460.15
  5. Step 5: Solve for x
    x = 4,717,872,460.15/98,489.60
  6. Step 6: Final answer
    x = 47,902.24

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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.