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Finding the Fourth Proportional to 100,010.78, 137,973.30 and 65,546.08

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Solution

The fourth proportional to 100,010.78, 137,973.30 and 65,546.08 is: 90,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,010.78 : 137,973.30 = 65,546.08 : x
  2. Step 2: Convert to fraction form
    100,010.78/137,973.30 = 65,546.08/x
  3. Step 3: Cross multiply
    100,010.78x = 137,973.30 × 65,546.08
  4. Step 4: Simplify right side
    100,010.78x = 9,043,608,959.66
  5. Step 5: Solve for x
    x = 9,043,608,959.66/100,010.78
  6. Step 6: Final answer
    x = 90,426.34

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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.