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Finding the Fourth Proportional to 72,871.76, 109,335.20 and 28,530.24

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Solution

The fourth proportional to 72,871.76, 109,335.20 and 28,530.24 is: 42,806.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,871.76 : 109,335.20 = 28,530.24 : x
  2. Step 2: Convert to fraction form
    72,871.76/109,335.20 = 28,530.24/x
  3. Step 3: Cross multiply
    72,871.76x = 109,335.20 × 28,530.24
  4. Step 4: Simplify right side
    72,871.76x = 3,119,359,496.45
  5. Step 5: Solve for x
    x = 3,119,359,496.45/72,871.76
  6. Step 6: Final answer
    x = 42,806.15

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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.