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Finding the Fourth Proportional to 100,657.89, 138,703.19 and 77,858.42

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Solution

The fourth proportional to 100,657.89, 138,703.19 and 77,858.42 is: 107,286.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,657.89 : 138,703.19 = 77,858.42 : x
  2. Step 2: Convert to fraction form
    100,657.89/138,703.19 = 77,858.42/x
  3. Step 3: Cross multiply
    100,657.89x = 138,703.19 × 77,858.42
  4. Step 4: Simplify right side
    100,657.89x = 10,799,210,139.55
  5. Step 5: Solve for x
    x = 10,799,210,139.55/100,657.89
  6. Step 6: Final answer
    x = 107,286.28

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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.