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Finding the Fourth Proportional to 100,681, 138,940.26 and 55,969

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Solution

The fourth proportional to 100,681, 138,940.26 and 55,969 is: 77,237.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681 : 138,940.26 = 55,969 : x
  2. Step 2: Convert to fraction form
    100,681/138,940.26 = 55,969/x
  3. Step 3: Cross multiply
    100,681x = 138,940.26 × 55,969
  4. Step 4: Simplify right side
    100,681x = 7,776,347,411.94
  5. Step 5: Solve for x
    x = 7,776,347,411.94/100,681
  6. Step 6: Final answer
    x = 77,237.49

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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.