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Finding the Fourth Proportional to 261,000, 360,180.36 and 141,768

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Solution

The fourth proportional to 261,000, 360,180.36 and 141,768 is: 195,640.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,000 : 360,180.36 = 141,768 : x
  2. Step 2: Convert to fraction form
    261,000/360,180.36 = 141,768/x
  3. Step 3: Cross multiply
    261,000x = 360,180.36 × 141,768
  4. Step 4: Simplify right side
    261,000x = 51,062,049,276.48
  5. Step 5: Solve for x
    x = 51,062,049,276.48/261,000
  6. Step 6: Final answer
    x = 195,640.04

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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.