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Finding the Fourth Proportional to 100,236.87, 138,326.86 and 54,916.46

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Solution

The fourth proportional to 100,236.87, 138,326.86 and 54,916.46 is: 75,784.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,236.87 : 138,326.86 = 54,916.46 : x
  2. Step 2: Convert to fraction form
    100,236.87/138,326.86 = 54,916.46/x
  3. Step 3: Cross multiply
    100,236.87x = 138,326.86 × 54,916.46
  4. Step 4: Simplify right side
    100,236.87x = 7,596,421,135.26
  5. Step 5: Solve for x
    x = 7,596,421,135.26/100,236.87
  6. Step 6: Final answer
    x = 75,784.70

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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.