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Finding the Fourth Proportional to 84,861.20, 127,243.80 and 32,272.40

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Solution

The fourth proportional to 84,861.20, 127,243.80 and 32,272.40 is: 48,390.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,861.20 : 127,243.80 = 32,272.40 : x
  2. Step 2: Convert to fraction form
    84,861.20/127,243.80 = 32,272.40/x
  3. Step 3: Cross multiply
    84,861.20x = 127,243.80 × 32,272.40
  4. Step 4: Simplify right side
    84,861.20x = 4,106,462,811.12
  5. Step 5: Solve for x
    x = 4,106,462,811.12/84,861.20
  6. Step 6: Final answer
    x = 48,390.35

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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.