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Finding the Fourth Proportional to 261,891.84, 361,440 and 148,734.72

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Solution

The fourth proportional to 261,891.84, 361,440 and 148,734.72 is: 205,270.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,891.84 : 361,440 = 148,734.72 : x
  2. Step 2: Convert to fraction form
    261,891.84/361,440 = 148,734.72/x
  3. Step 3: Cross multiply
    261,891.84x = 361,440 × 148,734.72
  4. Step 4: Simplify right side
    261,891.84x = 53,758,677,196.80
  5. Step 5: Solve for x
    x = 53,758,677,196.80/261,891.84
  6. Step 6: Final answer
    x = 205,270.53

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1.5x scale

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.