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Finding the Fourth Proportional to 342,529.50, 513,843.52 and 105,890.70

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Solution

The fourth proportional to 342,529.50, 513,843.52 and 105,890.70 is: 158,851.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,529.50 : 513,843.52 = 105,890.70 : x
  2. Step 2: Convert to fraction form
    342,529.50/513,843.52 = 105,890.70/x
  3. Step 3: Cross multiply
    342,529.50x = 513,843.52 × 105,890.70
  4. Step 4: Simplify right side
    342,529.50x = 54,411,250,023.26
  5. Step 5: Solve for x
    x = 54,411,250,023.26/342,529.50
  6. Step 6: Final answer
    x = 158,851.28

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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.