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Finding the Fourth Proportional to 127,987.61, 191,831.90 and 96,295.84

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Solution

The fourth proportional to 127,987.61, 191,831.90 and 96,295.84 is: 144,331.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,987.61 : 191,831.90 = 96,295.84 : x
  2. Step 2: Convert to fraction form
    127,987.61/191,831.90 = 96,295.84/x
  3. Step 3: Cross multiply
    127,987.61x = 191,831.90 × 96,295.84
  4. Step 4: Simplify right side
    127,987.61x = 18,472,612,988.24
  5. Step 5: Solve for x
    x = 18,472,612,988.24/127,987.61
  6. Step 6: Final answer
    x = 144,331.27

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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.