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Finding the Fourth Proportional to 261,242.57, 391,974.80 and 142,775.51

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Solution

The fourth proportional to 261,242.57, 391,974.80 and 142,775.51 is: 214,223.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,242.57 : 391,974.80 = 142,775.51 : x
  2. Step 2: Convert to fraction form
    261,242.57/391,974.80 = 142,775.51/x
  3. Step 3: Cross multiply
    261,242.57x = 391,974.80 × 142,775.51
  4. Step 4: Simplify right side
    261,242.57x = 55,964,402,712.92
  5. Step 5: Solve for x
    x = 55,964,402,712.92/261,242.57
  6. Step 6: Final answer
    x = 214,223.90

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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.