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Finding the Fourth Proportional to 100,842.60, 151,263.90 and 89,956.20

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Solution

The fourth proportional to 100,842.60, 151,263.90 and 89,956.20 is: 134,934.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,842.60 : 151,263.90 = 89,956.20 : x
  2. Step 2: Convert to fraction form
    100,842.60/151,263.90 = 89,956.20/x
  3. Step 3: Cross multiply
    100,842.60x = 151,263.90 × 89,956.20
  4. Step 4: Simplify right side
    100,842.60x = 13,607,125,641.18
  5. Step 5: Solve for x
    x = 13,607,125,641.18/100,842.60
  6. Step 6: Final answer
    x = 134,934.30

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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.