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Finding the Fourth Proportional to 129,648.48, 194,507.28 and 46,543.20

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Solution

The fourth proportional to 129,648.48, 194,507.28 and 46,543.20 is: 69,827.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,648.48 : 194,507.28 = 46,543.20 : x
  2. Step 2: Convert to fraction form
    129,648.48/194,507.28 = 46,543.20/x
  3. Step 3: Cross multiply
    129,648.48x = 194,507.28 × 46,543.20
  4. Step 4: Simplify right side
    129,648.48x = 9,052,991,234.50
  5. Step 5: Solve for x
    x = 9,052,991,234.50/129,648.48
  6. Step 6: Final answer
    x = 69,827.21

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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.