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Finding the Fourth Proportional to 261,900.54, 361,409.04 and 148,716

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Solution

The fourth proportional to 261,900.54, 361,409.04 and 148,716 is: 205,220.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,900.54 : 361,409.04 = 148,716 : x
  2. Step 2: Convert to fraction form
    261,900.54/361,409.04 = 148,716/x
  3. Step 3: Cross multiply
    261,900.54x = 361,409.04 × 148,716
  4. Step 4: Simplify right side
    261,900.54x = 53,747,306,792.64
  5. Step 5: Solve for x
    x = 53,747,306,792.64/261,900.54
  6. Step 6: Final answer
    x = 205,220.30

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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.