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Finding the Fourth Proportional to 121,237.75, 181,831.78 and 76,238.47

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Solution

The fourth proportional to 121,237.75, 181,831.78 and 76,238.47 is: 114,342.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,237.75 : 181,831.78 = 76,238.47 : x
  2. Step 2: Convert to fraction form
    121,237.75/181,831.78 = 76,238.47/x
  3. Step 3: Cross multiply
    121,237.75x = 181,831.78 × 76,238.47
  4. Step 4: Simplify right side
    121,237.75x = 13,862,575,414.23
  5. Step 5: Solve for x
    x = 13,862,575,414.23/121,237.75
  6. Step 6: Final answer
    x = 114,342.08

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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.