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Finding the Fourth Proportional to 123,897.20, 185,894.40 and 45,019.40

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Solution

The fourth proportional to 123,897.20, 185,894.40 and 45,019.40 is: 67,546.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,897.20 : 185,894.40 = 45,019.40 : x
  2. Step 2: Convert to fraction form
    123,897.20/185,894.40 = 45,019.40/x
  3. Step 3: Cross multiply
    123,897.20x = 185,894.40 × 45,019.40
  4. Step 4: Simplify right side
    123,897.20x = 8,368,854,351.36
  5. Step 5: Solve for x
    x = 8,368,854,351.36/123,897.20
  6. Step 6: Final answer
    x = 67,546.76

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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.