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Finding the Fourth Proportional to 123,570.40, 185,355.60 and 71,082.40

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Solution

The fourth proportional to 123,570.40, 185,355.60 and 71,082.40 is: 106,623.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,570.40 : 185,355.60 = 71,082.40 : x
  2. Step 2: Convert to fraction form
    123,570.40/185,355.60 = 71,082.40/x
  3. Step 3: Cross multiply
    123,570.40x = 185,355.60 × 71,082.40
  4. Step 4: Simplify right side
    123,570.40x = 13,175,520,901.44
  5. Step 5: Solve for x
    x = 13,175,520,901.44/123,570.40
  6. Step 6: Final answer
    x = 106,623.60

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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.