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Finding the Fourth Proportional to 178,750.20, 268,161.30 and 52,390.20

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Solution

The fourth proportional to 178,750.20, 268,161.30 and 52,390.20 is: 78,595.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,750.20 : 268,161.30 = 52,390.20 : x
  2. Step 2: Convert to fraction form
    178,750.20/268,161.30 = 52,390.20/x
  3. Step 3: Cross multiply
    178,750.20x = 268,161.30 × 52,390.20
  4. Step 4: Simplify right side
    178,750.20x = 14,049,024,139.26
  5. Step 5: Solve for x
    x = 14,049,024,139.26/178,750.20
  6. Step 6: Final answer
    x = 78,595.85

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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.