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Finding the Fourth Proportional to 261,429, 360,772.34 and 142,197

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Solution

The fourth proportional to 261,429, 360,772.34 and 142,197 is: 196,232.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,429 : 360,772.34 = 142,197 : x
  2. Step 2: Convert to fraction form
    261,429/360,772.34 = 142,197/x
  3. Step 3: Cross multiply
    261,429x = 360,772.34 × 142,197
  4. Step 4: Simplify right side
    261,429x = 51,300,744,430.98
  5. Step 5: Solve for x
    x = 51,300,744,430.98/261,429
  6. Step 6: Final answer
    x = 196,232.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.