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Finding the Fourth Proportional to 261,990.12, 361,526.94 and 148,791

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Solution

The fourth proportional to 261,990.12, 361,526.94 and 148,791 is: 205,320.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,990.12 : 361,526.94 = 148,791 : x
  2. Step 2: Convert to fraction form
    261,990.12/361,526.94 = 148,791/x
  3. Step 3: Cross multiply
    261,990.12x = 361,526.94 × 148,791
  4. Step 4: Simplify right side
    261,990.12x = 53,791,954,929.54
  5. Step 5: Solve for x
    x = 53,791,954,929.54/261,990.12
  6. Step 6: Final answer
    x = 205,320.55

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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.