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Finding the Fourth Proportional to 129,712.39, 194,574.44 and 39,748.63

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Solution

The fourth proportional to 129,712.39, 194,574.44 and 39,748.63 is: 59,624.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,712.39 : 194,574.44 = 39,748.63 : x
  2. Step 2: Convert to fraction form
    129,712.39/194,574.44 = 39,748.63/x
  3. Step 3: Cross multiply
    129,712.39x = 194,574.44 × 39,748.63
  4. Step 4: Simplify right side
    129,712.39x = 7,734,067,423.02
  5. Step 5: Solve for x
    x = 7,734,067,423.02/129,712.39
  6. Step 6: Final answer
    x = 59,624.74

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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.