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Finding the Fourth Proportional to 65,878.60, 98,672.10 and 54,214.60

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Solution

The fourth proportional to 65,878.60, 98,672.10 and 54,214.60 is: 81,201.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,878.60 : 98,672.10 = 54,214.60 : x
  2. Step 2: Convert to fraction form
    65,878.60/98,672.10 = 54,214.60/x
  3. Step 3: Cross multiply
    65,878.60x = 98,672.10 × 54,214.60
  4. Step 4: Simplify right side
    65,878.60x = 5,349,468,432.66
  5. Step 5: Solve for x
    x = 5,349,468,432.66/65,878.60
  6. Step 6: Final answer
    x = 81,201.91

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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.