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Finding the Fourth Proportional to 121,121, 181,687.98 and 38,021.48

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Solution

The fourth proportional to 121,121, 181,687.98 and 38,021.48 is: 57,034.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,121 : 181,687.98 = 38,021.48 : x
  2. Step 2: Convert to fraction form
    121,121/181,687.98 = 38,021.48/x
  3. Step 3: Cross multiply
    121,121x = 181,687.98 × 38,021.48
  4. Step 4: Simplify right side
    121,121x = 6,908,045,897.81
  5. Step 5: Solve for x
    x = 6,908,045,897.81/121,121
  6. Step 6: Final answer
    x = 57,034.25

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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.