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Finding the Fourth Proportional to 123,428.34, 185,157.35 and 43,449.70

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Solution

The fourth proportional to 123,428.34, 185,157.35 and 43,449.70 is: 65,179.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,428.34 : 185,157.35 = 43,449.70 : x
  2. Step 2: Convert to fraction form
    123,428.34/185,157.35 = 43,449.70/x
  3. Step 3: Cross multiply
    123,428.34x = 185,157.35 × 43,449.70
  4. Step 4: Simplify right side
    123,428.34x = 8,045,031,140.26
  5. Step 5: Solve for x
    x = 8,045,031,140.26/123,428.34
  6. Step 6: Final answer
    x = 65,179.77

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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.