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Finding the Fourth Proportional to 100,872.10, 151,308.15 and 85,320.10

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Solution

The fourth proportional to 100,872.10, 151,308.15 and 85,320.10 is: 127,980.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,872.10 : 151,308.15 = 85,320.10 : x
  2. Step 2: Convert to fraction form
    100,872.10/151,308.15 = 85,320.10/x
  3. Step 3: Cross multiply
    100,872.10x = 151,308.15 × 85,320.10
  4. Step 4: Simplify right side
    100,872.10x = 12,909,626,488.82
  5. Step 5: Solve for x
    x = 12,909,626,488.82/100,872.10
  6. Step 6: Final answer
    x = 127,980.15

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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.