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Finding the Fourth Proportional to 129,745.92, 194,638.80 and 54,866.16

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Solution

The fourth proportional to 129,745.92, 194,638.80 and 54,866.16 is: 82,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,745.92 : 194,638.80 = 54,866.16 : x
  2. Step 2: Convert to fraction form
    129,745.92/194,638.80 = 54,866.16/x
  3. Step 3: Cross multiply
    129,745.92x = 194,638.80 × 54,866.16
  4. Step 4: Simplify right side
    129,745.92x = 10,679,083,543.01
  5. Step 5: Solve for x
    x = 10,679,083,543.01/129,745.92
  6. Step 6: Final answer
    x = 82,307.66

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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.