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Finding the Fourth Proportional to 98,336.64, 147,505.80 and 31,776.78

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Solution

The fourth proportional to 98,336.64, 147,505.80 and 31,776.78 is: 47,665.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,336.64 : 147,505.80 = 31,776.78 : x
  2. Step 2: Convert to fraction form
    98,336.64/147,505.80 = 31,776.78/x
  3. Step 3: Cross multiply
    98,336.64x = 147,505.80 × 31,776.78
  4. Step 4: Simplify right side
    98,336.64x = 4,687,259,355.32
  5. Step 5: Solve for x
    x = 4,687,259,355.32/98,336.64
  6. Step 6: Final answer
    x = 47,665.44

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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.