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Finding the Fourth Proportional to 261,792, 361,260 and 159,699.60

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Solution

The fourth proportional to 261,792, 361,260 and 159,699.60 is: 220,377.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,792 : 361,260 = 159,699.60 : x
  2. Step 2: Convert to fraction form
    261,792/361,260 = 159,699.60/x
  3. Step 3: Cross multiply
    261,792x = 361,260 × 159,699.60
  4. Step 4: Simplify right side
    261,792x = 57,693,077,496
  5. Step 5: Solve for x
    x = 57,693,077,496/261,792
  6. Step 6: Final answer
    x = 220,377.54

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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.