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Finding the Fourth Proportional to 100,681.49, 138,943.48 and 55,357.13

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Solution

The fourth proportional to 100,681.49, 138,943.48 and 55,357.13 is: 76,394.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,681.49 : 138,943.48 = 55,357.13 : x
  2. Step 2: Convert to fraction form
    100,681.49/138,943.48 = 55,357.13/x
  3. Step 3: Cross multiply
    100,681.49x = 138,943.48 × 55,357.13
  4. Step 4: Simplify right side
    100,681.49x = 7,691,512,285.01
  5. Step 5: Solve for x
    x = 7,691,512,285.01/100,681.49
  6. Step 6: Final answer
    x = 76,394.50

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1.5x scale

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.