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Finding the Fourth Proportional to 80,275.08, 120,407.76 and 24,871.08

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Solution

The fourth proportional to 80,275.08, 120,407.76 and 24,871.08 is: 37,305.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,275.08 : 120,407.76 = 24,871.08 : x
  2. Step 2: Convert to fraction form
    80,275.08/120,407.76 = 24,871.08/x
  3. Step 3: Cross multiply
    80,275.08x = 120,407.76 × 24,871.08
  4. Step 4: Simplify right side
    80,275.08x = 2,994,671,031.58
  5. Step 5: Solve for x
    x = 2,994,671,031.58/80,275.08
  6. Step 6: Final answer
    x = 37,305.11

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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.