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Finding the Fourth Proportional to 123,665.20, 185,416.80 and 48,740.20

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Solution

The fourth proportional to 123,665.20, 185,416.80 and 48,740.20 is: 73,078.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,665.20 : 185,416.80 = 48,740.20 : x
  2. Step 2: Convert to fraction form
    123,665.20/185,416.80 = 48,740.20/x
  3. Step 3: Cross multiply
    123,665.20x = 185,416.80 × 48,740.20
  4. Step 4: Simplify right side
    123,665.20x = 9,037,251,915.36
  5. Step 5: Solve for x
    x = 9,037,251,915.36/123,665.20
  6. Step 6: Final answer
    x = 73,078.38

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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.