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Finding the Fourth Proportional to 100,356.11, 138,411.71 and 85,298.61

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Solution

The fourth proportional to 100,356.11, 138,411.71 and 85,298.61 is: 117,644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,356.11 : 138,411.71 = 85,298.61 : x
  2. Step 2: Convert to fraction form
    100,356.11/138,411.71 = 85,298.61/x
  3. Step 3: Cross multiply
    100,356.11x = 138,411.71 × 85,298.61
  4. Step 4: Simplify right side
    100,356.11x = 11,806,326,044.23
  5. Step 5: Solve for x
    x = 11,806,326,044.23/100,356.11
  6. Step 6: Final answer
    x = 117,644.32

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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.