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Finding the Fourth Proportional to 137,031.70, 205,547.55 and 48,385.30

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Solution

The fourth proportional to 137,031.70, 205,547.55 and 48,385.30 is: 72,577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,031.70 : 205,547.55 = 48,385.30 : x
  2. Step 2: Convert to fraction form
    137,031.70/205,547.55 = 48,385.30/x
  3. Step 3: Cross multiply
    137,031.70x = 205,547.55 × 48,385.30
  4. Step 4: Simplify right side
    137,031.70x = 9,945,479,871.02
  5. Step 5: Solve for x
    x = 9,945,479,871.02/137,031.70
  6. Step 6: Final answer
    x = 72,577.95

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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.