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Finding the Fourth Proportional to 65,484.49, 98,227.42 and 52,419.90

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Solution

The fourth proportional to 65,484.49, 98,227.42 and 52,419.90 is: 78,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,484.49 : 98,227.42 = 52,419.90 : x
  2. Step 2: Convert to fraction form
    65,484.49/98,227.42 = 52,419.90/x
  3. Step 3: Cross multiply
    65,484.49x = 98,227.42 × 52,419.90
  4. Step 4: Simplify right side
    65,484.49x = 5,149,071,533.66
  5. Step 5: Solve for x
    x = 5,149,071,533.66/65,484.49
  6. Step 6: Final answer
    x = 78,630.40

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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.