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Finding the Fourth Proportional to 65,830.60, 98,600.10 and 54,166.60

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Solution

The fourth proportional to 65,830.60, 98,600.10 and 54,166.60 is: 81,129.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,830.60 : 98,600.10 = 54,166.60 : x
  2. Step 2: Convert to fraction form
    65,830.60/98,600.10 = 54,166.60/x
  3. Step 3: Cross multiply
    65,830.60x = 98,600.10 × 54,166.60
  4. Step 4: Simplify right side
    65,830.60x = 5,340,832,176.66
  5. Step 5: Solve for x
    x = 5,340,832,176.66/65,830.60
  6. Step 6: Final answer
    x = 81,129.93

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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.