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Finding the Fourth Proportional to 121,125.78, 181,717.80 and 38,019.78

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Solution

The fourth proportional to 121,125.78, 181,717.80 and 38,019.78 is: 57,038.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,125.78 : 181,717.80 = 38,019.78 : x
  2. Step 2: Convert to fraction form
    121,125.78/181,717.80 = 38,019.78/x
  3. Step 3: Cross multiply
    121,125.78x = 181,717.80 × 38,019.78
  4. Step 4: Simplify right side
    121,125.78x = 6,908,870,778.08
  5. Step 5: Solve for x
    x = 6,908,870,778.08/121,125.78
  6. Step 6: Final answer
    x = 57,038.81

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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.