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Finding the Fourth Proportional to 261,716, 361,168.10 and 142,484

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Solution

The fourth proportional to 261,716, 361,168.10 and 142,484 is: 196,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,716 : 361,168.10 = 142,484 : x
  2. Step 2: Convert to fraction form
    261,716/361,168.10 = 142,484/x
  3. Step 3: Cross multiply
    261,716x = 361,168.10 × 142,484
  4. Step 4: Simplify right side
    261,716x = 51,460,675,560.40
  5. Step 5: Solve for x
    x = 51,460,675,560.40/261,716
  6. Step 6: Final answer
    x = 196,627.93

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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.