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Finding the Fourth Proportional to 342,047.97, 513,080.78 and 162,091.17

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Solution

The fourth proportional to 342,047.97, 513,080.78 and 162,091.17 is: 243,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,047.97 : 513,080.78 = 162,091.17 : x
  2. Step 2: Convert to fraction form
    342,047.97/513,080.78 = 162,091.17/x
  3. Step 3: Cross multiply
    342,047.97x = 513,080.78 × 162,091.17
  4. Step 4: Simplify right side
    342,047.97x = 83,165,863,124.26
  5. Step 5: Solve for x
    x = 83,165,863,124.26/342,047.97
  6. Step 6: Final answer
    x = 243,140.93

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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.