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Finding the Fourth Proportional to 261,816.65, 361,311.76 and 145,541.04

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Solution

The fourth proportional to 261,816.65, 361,311.76 and 145,541.04 is: 200,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,816.65 : 361,311.76 = 145,541.04 : x
  2. Step 2: Convert to fraction form
    261,816.65/361,311.76 = 145,541.04/x
  3. Step 3: Cross multiply
    261,816.65x = 361,311.76 × 145,541.04
  4. Step 4: Simplify right side
    261,816.65x = 52,585,689,314.63
  5. Step 5: Solve for x
    x = 52,585,689,314.63/261,816.65
  6. Step 6: Final answer
    x = 200,849.29

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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.