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Finding the Fourth Proportional to 121,129.50, 181,723.41 and 38,023.50

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Solution

The fourth proportional to 121,129.50, 181,723.41 and 38,023.50 is: 57,044.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,129.50 : 181,723.41 = 38,023.50 : x
  2. Step 2: Convert to fraction form
    121,129.50/181,723.41 = 38,023.50/x
  3. Step 3: Cross multiply
    121,129.50x = 181,723.41 × 38,023.50
  4. Step 4: Simplify right side
    121,129.50x = 6,909,760,080.14
  5. Step 5: Solve for x
    x = 6,909,760,080.14/121,129.50
  6. Step 6: Final answer
    x = 57,044.40

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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.