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Finding the Fourth Proportional to 65,404.60, 98,107.00 and 18,657.47

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Solution

The fourth proportional to 65,404.60, 98,107.00 and 18,657.47 is: 27,986.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,404.60 : 98,107.00 = 18,657.47 : x
  2. Step 2: Convert to fraction form
    65,404.60/98,107.00 = 18,657.47/x
  3. Step 3: Cross multiply
    65,404.60x = 98,107.00 × 18,657.47
  4. Step 4: Simplify right side
    65,404.60x = 1,830,428,607.91
  5. Step 5: Solve for x
    x = 1,830,428,607.91/65,404.60
  6. Step 6: Final answer
    x = 27,986.24

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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.