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Finding the Fourth Proportional to 100,829.60, 151,244.40 and 65,808.80

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Solution

The fourth proportional to 100,829.60, 151,244.40 and 65,808.80 is: 98,713.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,829.60 : 151,244.40 = 65,808.80 : x
  2. Step 2: Convert to fraction form
    100,829.60/151,244.40 = 65,808.80/x
  3. Step 3: Cross multiply
    100,829.60x = 151,244.40 × 65,808.80
  4. Step 4: Simplify right side
    100,829.60x = 9,953,212,470.72
  5. Step 5: Solve for x
    x = 9,953,212,470.72/100,829.60
  6. Step 6: Final answer
    x = 98,713.20

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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.