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Finding the Fourth Proportional to 100,871.60, 151,307.40 and 85,319.60

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Solution

The fourth proportional to 100,871.60, 151,307.40 and 85,319.60 is: 127,979.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,871.60 : 151,307.40 = 85,319.60 : x
  2. Step 2: Convert to fraction form
    100,871.60/151,307.40 = 85,319.60/x
  3. Step 3: Cross multiply
    100,871.60x = 151,307.40 × 85,319.60
  4. Step 4: Simplify right side
    100,871.60x = 12,909,486,845.04
  5. Step 5: Solve for x
    x = 12,909,486,845.04/100,871.60
  6. Step 6: Final answer
    x = 127,979.40

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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.