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Finding the Fourth Proportional to 121,473.28, 181,953.96 and 77,076.64

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Solution

The fourth proportional to 121,473.28, 181,953.96 and 77,076.64 is: 115,452.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,473.28 : 181,953.96 = 77,076.64 : x
  2. Step 2: Convert to fraction form
    121,473.28/181,953.96 = 77,076.64/x
  3. Step 3: Cross multiply
    121,473.28x = 181,953.96 × 77,076.64
  4. Step 4: Simplify right side
    121,473.28x = 14,024,399,871.49
  5. Step 5: Solve for x
    x = 14,024,399,871.49/121,473.28
  6. Step 6: Final answer
    x = 115,452.55

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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.