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Finding the Fourth Proportional to 155,281.60, 214,287.31 and 87,298.88

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Solution

The fourth proportional to 155,281.60, 214,287.31 and 87,298.88 is: 120,471.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,281.60 : 214,287.31 = 87,298.88 : x
  2. Step 2: Convert to fraction form
    155,281.60/214,287.31 = 87,298.88/x
  3. Step 3: Cross multiply
    155,281.60x = 214,287.31 × 87,298.88
  4. Step 4: Simplify right side
    155,281.60x = 18,707,040,871.53
  5. Step 5: Solve for x
    x = 18,707,040,871.53/155,281.60
  6. Step 6: Final answer
    x = 120,471.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.