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Finding the Fourth Proportional to 261,810, 361,297.80 and 142,578

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Solution

The fourth proportional to 261,810, 361,297.80 and 142,578 is: 196,757.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,810 : 361,297.80 = 142,578 : x
  2. Step 2: Convert to fraction form
    261,810/361,297.80 = 142,578/x
  3. Step 3: Cross multiply
    261,810x = 361,297.80 × 142,578
  4. Step 4: Simplify right side
    261,810x = 51,513,117,728.40
  5. Step 5: Solve for x
    x = 51,513,117,728.40/261,810
  6. Step 6: Final answer
    x = 196,757.64

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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.