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Finding the Fourth Proportional to 129,773.80, 194,271.90 and 77,156.20

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Solution

The fourth proportional to 129,773.80, 194,271.90 and 77,156.20 is: 115,503.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,773.80 : 194,271.90 = 77,156.20 : x
  2. Step 2: Convert to fraction form
    129,773.80/194,271.90 = 77,156.20/x
  3. Step 3: Cross multiply
    129,773.80x = 194,271.90 × 77,156.20
  4. Step 4: Simplify right side
    129,773.80x = 14,989,281,570.78
  5. Step 5: Solve for x
    x = 14,989,281,570.78/129,773.80
  6. Step 6: Final answer
    x = 115,503.14

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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.