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Finding the Fourth Proportional to 120,598.78, 180,839.85 and 70,695.10

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Solution

The fourth proportional to 120,598.78, 180,839.85 and 70,695.10 is: 106,008.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,598.78 : 180,839.85 = 70,695.10 : x
  2. Step 2: Convert to fraction form
    120,598.78/180,839.85 = 70,695.10/x
  3. Step 3: Cross multiply
    120,598.78x = 180,839.85 × 70,695.10
  4. Step 4: Simplify right side
    120,598.78x = 12,784,491,279.74
  5. Step 5: Solve for x
    x = 12,784,491,279.74/120,598.78
  6. Step 6: Final answer
    x = 106,008.46

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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.