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Finding the Fourth Proportional to 106,543.92, 147,085.89 and 77,831.34

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Solution

The fourth proportional to 106,543.92, 147,085.89 and 77,831.34 is: 107,447.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,543.92 : 147,085.89 = 77,831.34 : x
  2. Step 2: Convert to fraction form
    106,543.92/147,085.89 = 77,831.34/x
  3. Step 3: Cross multiply
    106,543.92x = 147,085.89 × 77,831.34
  4. Step 4: Simplify right side
    106,543.92x = 11,447,891,913.79
  5. Step 5: Solve for x
    x = 11,447,891,913.79/106,543.92
  6. Step 6: Final answer
    x = 107,447.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.