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Finding the Fourth Proportional to 100,701, 138,967.38 and 55,379.80

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Solution

The fourth proportional to 100,701, 138,967.38 and 55,379.80 is: 76,424.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,701 : 138,967.38 = 55,379.80 : x
  2. Step 2: Convert to fraction form
    100,701/138,967.38 = 55,379.80/x
  3. Step 3: Cross multiply
    100,701x = 138,967.38 × 55,379.80
  4. Step 4: Simplify right side
    100,701x = 7,695,985,710.92
  5. Step 5: Solve for x
    x = 7,695,985,710.92/100,701
  6. Step 6: Final answer
    x = 76,424.12

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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.