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Finding the Fourth Proportional to 75,123.40, 112,673.76 and 25,195

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Solution

The fourth proportional to 75,123.40, 112,673.76 and 25,195 is: 37,788.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,123.40 : 112,673.76 = 25,195 : x
  2. Step 2: Convert to fraction form
    75,123.40/112,673.76 = 25,195/x
  3. Step 3: Cross multiply
    75,123.40x = 112,673.76 × 25,195
  4. Step 4: Simplify right side
    75,123.40x = 2,838,815,383.20
  5. Step 5: Solve for x
    x = 2,838,815,383.20/75,123.40
  6. Step 6: Final answer
    x = 37,788.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.