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Finding the Fourth Proportional to 129,240, 193,720.32 and 54,342.72

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Solution

The fourth proportional to 129,240, 193,720.32 and 54,342.72 is: 81,455.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,240 : 193,720.32 = 54,342.72 : x
  2. Step 2: Convert to fraction form
    129,240/193,720.32 = 54,342.72/x
  3. Step 3: Cross multiply
    129,240x = 193,720.32 × 54,342.72
  4. Step 4: Simplify right side
    129,240x = 10,527,289,108.07
  5. Step 5: Solve for x
    x = 10,527,289,108.07/129,240
  6. Step 6: Final answer
    x = 81,455.35

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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.