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Finding the Fourth Proportional to 100,026.58, 138,086.85 and 77,314.28

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Solution

The fourth proportional to 100,026.58, 138,086.85 and 77,314.28 is: 106,732.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,026.58 : 138,086.85 = 77,314.28 : x
  2. Step 2: Convert to fraction form
    100,026.58/138,086.85 = 77,314.28/x
  3. Step 3: Cross multiply
    100,026.58x = 138,086.85 × 77,314.28
  4. Step 4: Simplify right side
    100,026.58x = 10,676,085,385.22
  5. Step 5: Solve for x
    x = 10,676,085,385.22/100,026.58
  6. Step 6: Final answer
    x = 106,732.48

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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.