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Finding the Fourth Proportional to 100,422.66, 138,583.20 and 55,100.91

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Solution

The fourth proportional to 100,422.66, 138,583.20 and 55,100.91 is: 76,039.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,422.66 : 138,583.20 = 55,100.91 : x
  2. Step 2: Convert to fraction form
    100,422.66/138,583.20 = 55,100.91/x
  3. Step 3: Cross multiply
    100,422.66x = 138,583.20 × 55,100.91
  4. Step 4: Simplify right side
    100,422.66x = 7,636,060,430.71
  5. Step 5: Solve for x
    x = 7,636,060,430.71/100,422.66
  6. Step 6: Final answer
    x = 76,039.22

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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.