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Finding the Fourth Proportional to 129,647.80, 194,082.90 and 77,030.20

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Solution

The fourth proportional to 129,647.80, 194,082.90 and 77,030.20 is: 115,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,647.80 : 194,082.90 = 77,030.20 : x
  2. Step 2: Convert to fraction form
    129,647.80/194,082.90 = 77,030.20/x
  3. Step 3: Cross multiply
    129,647.80x = 194,082.90 × 77,030.20
  4. Step 4: Simplify right side
    129,647.80x = 14,950,244,603.58
  5. Step 5: Solve for x
    x = 14,950,244,603.58/129,647.80
  6. Step 6: Final answer
    x = 115,314.29

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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.