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Finding the Fourth Proportional to 129,530.65, 194,322.17 and 54,650.98

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Solution

The fourth proportional to 129,530.65, 194,322.17 and 54,650.98 is: 81,987.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,530.65 : 194,322.17 = 54,650.98 : x
  2. Step 2: Convert to fraction form
    129,530.65/194,322.17 = 54,650.98/x
  3. Step 3: Cross multiply
    129,530.65x = 194,322.17 × 54,650.98
  4. Step 4: Simplify right side
    129,530.65x = 10,619,897,026.23
  5. Step 5: Solve for x
    x = 10,619,897,026.23/129,530.65
  6. Step 6: Final answer
    x = 81,987.52

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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.