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Finding the Fourth Proportional to 100,707.70, 138,978.22 and 55,387.66

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Solution

The fourth proportional to 100,707.70, 138,978.22 and 55,387.66 is: 76,435.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,707.70 : 138,978.22 = 55,387.66 : x
  2. Step 2: Convert to fraction form
    100,707.70/138,978.22 = 55,387.66/x
  3. Step 3: Cross multiply
    100,707.70x = 138,978.22 × 55,387.66
  4. Step 4: Simplify right side
    100,707.70x = 7,697,677,701.87
  5. Step 5: Solve for x
    x = 7,697,677,701.87/100,707.70
  6. Step 6: Final answer
    x = 76,435.84

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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.