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Finding the Fourth Proportional to 129,900.66, 194,953.04 and 66,718.23

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Solution

The fourth proportional to 129,900.66, 194,953.04 and 66,718.23 is: 100,129.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,900.66 : 194,953.04 = 66,718.23 : x
  2. Step 2: Convert to fraction form
    129,900.66/194,953.04 = 66,718.23/x
  3. Step 3: Cross multiply
    129,900.66x = 194,953.04 × 66,718.23
  4. Step 4: Simplify right side
    129,900.66x = 13,006,921,761.92
  5. Step 5: Solve for x
    x = 13,006,921,761.92/129,900.66
  6. Step 6: Final answer
    x = 100,129.76

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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.