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Finding the Fourth Proportional to 342,105.80, 513,110.10 and 105,472.40

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Solution

The fourth proportional to 342,105.80, 513,110.10 and 105,472.40 is: 158,193.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,105.80 : 513,110.10 = 105,472.40 : x
  2. Step 2: Convert to fraction form
    342,105.80/513,110.10 = 105,472.40/x
  3. Step 3: Cross multiply
    342,105.80x = 513,110.10 × 105,472.40
  4. Step 4: Simplify right side
    342,105.80x = 54,118,953,711.24
  5. Step 5: Solve for x
    x = 54,118,953,711.24/342,105.80
  6. Step 6: Final answer
    x = 158,193.62

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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.