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Finding the Fourth Proportional to 127,987.22, 191,831.36 and 96,295.47

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Solution

The fourth proportional to 127,987.22, 191,831.36 and 96,295.47 is: 144,330.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,987.22 : 191,831.36 = 96,295.47 : x
  2. Step 2: Convert to fraction form
    127,987.22/191,831.36 = 96,295.47/x
  3. Step 3: Cross multiply
    127,987.22x = 191,831.36 × 96,295.47
  4. Step 4: Simplify right side
    127,987.22x = 18,472,490,490.46
  5. Step 5: Solve for x
    x = 18,472,490,490.46/127,987.22
  6. Step 6: Final answer
    x = 144,330.75

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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.