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Finding the Fourth Proportional to 121,127.78, 181,720.80 and 38,021.78

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Solution

The fourth proportional to 121,127.78, 181,720.80 and 38,021.78 is: 57,041.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,127.78 : 181,720.80 = 38,021.78 : x
  2. Step 2: Convert to fraction form
    121,127.78/181,720.80 = 38,021.78/x
  3. Step 3: Cross multiply
    121,127.78x = 181,720.80 × 38,021.78
  4. Step 4: Simplify right side
    121,127.78x = 6,909,348,279.02
  5. Step 5: Solve for x
    x = 6,909,348,279.02/121,127.78
  6. Step 6: Final answer
    x = 57,041.81

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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.