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Finding the Fourth Proportional to 123,412.80, 185,119.20 and 61,204.80

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Solution

The fourth proportional to 123,412.80, 185,119.20 and 61,204.80 is: 91,807.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,412.80 : 185,119.20 = 61,204.80 : x
  2. Step 2: Convert to fraction form
    123,412.80/185,119.20 = 61,204.80/x
  3. Step 3: Cross multiply
    123,412.80x = 185,119.20 × 61,204.80
  4. Step 4: Simplify right side
    123,412.80x = 11,330,183,612.16
  5. Step 5: Solve for x
    x = 11,330,183,612.16/123,412.80
  6. Step 6: Final answer
    x = 91,807.20

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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.