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Finding the Fourth Proportional to 261,719, 361,172.24 and 142,487

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Solution

The fourth proportional to 261,719, 361,172.24 and 142,487 is: 196,632.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,719 : 361,172.24 = 142,487 : x
  2. Step 2: Convert to fraction form
    261,719/361,172.24 = 142,487/x
  3. Step 3: Cross multiply
    261,719x = 361,172.24 × 142,487
  4. Step 4: Simplify right side
    261,719x = 51,462,348,960.88
  5. Step 5: Solve for x
    x = 51,462,348,960.88/261,719
  6. Step 6: Final answer
    x = 196,632.07

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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.