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Finding the Fourth Proportional to 121,403.78, 182,158.20 and 65,178.30

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Solution

The fourth proportional to 121,403.78, 182,158.20 and 65,178.30 is: 97,795.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,403.78 : 182,158.20 = 65,178.30 : x
  2. Step 2: Convert to fraction form
    121,403.78/182,158.20 = 65,178.30/x
  3. Step 3: Cross multiply
    121,403.78x = 182,158.20 × 65,178.30
  4. Step 4: Simplify right side
    121,403.78x = 11,872,761,807.06
  5. Step 5: Solve for x
    x = 11,872,761,807.06/121,403.78
  6. Step 6: Final answer
    x = 97,795.66

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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.