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Finding the Fourth Proportional to 98,984.30, 148,476.45 and 65,741.90

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Solution

The fourth proportional to 98,984.30, 148,476.45 and 65,741.90 is: 98,612.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,984.30 : 148,476.45 = 65,741.90 : x
  2. Step 2: Convert to fraction form
    98,984.30/148,476.45 = 65,741.90/x
  3. Step 3: Cross multiply
    98,984.30x = 148,476.45 × 65,741.90
  4. Step 4: Simplify right side
    98,984.30x = 9,761,123,928.26
  5. Step 5: Solve for x
    x = 9,761,123,928.26/98,984.30
  6. Step 6: Final answer
    x = 98,612.85

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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.