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Finding the Fourth Proportional to 129,885.66, 194,656.24 and 66,703.23

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Solution

The fourth proportional to 129,885.66, 194,656.24 and 66,703.23 is: 99,966.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,885.66 : 194,656.24 = 66,703.23 : x
  2. Step 2: Convert to fraction form
    129,885.66/194,656.24 = 66,703.23/x
  3. Step 3: Cross multiply
    129,885.66x = 194,656.24 × 66,703.23
  4. Step 4: Simplify right side
    129,885.66x = 12,984,199,947.66
  5. Step 5: Solve for x
    x = 12,984,199,947.66/129,885.66
  6. Step 6: Final answer
    x = 99,966.39

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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.