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Finding the Fourth Proportional to 138,774, 191,508.12 and 75,112.32

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Solution

The fourth proportional to 138,774, 191,508.12 and 75,112.32 is: 103,655.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,774 : 191,508.12 = 75,112.32 : x
  2. Step 2: Convert to fraction form
    138,774/191,508.12 = 75,112.32/x
  3. Step 3: Cross multiply
    138,774x = 191,508.12 × 75,112.32
  4. Step 4: Simplify right side
    138,774x = 14,384,619,192.04
  5. Step 5: Solve for x
    x = 14,384,619,192.04/138,774
  6. Step 6: Final answer
    x = 103,655.00

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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.