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Finding the Fourth Proportional to 261,973.75, 361,523.78 and 142,741.75

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Solution

The fourth proportional to 261,973.75, 361,523.78 and 142,741.75 is: 196,983.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,973.75 : 361,523.78 = 142,741.75 : x
  2. Step 2: Convert to fraction form
    261,973.75/361,523.78 = 142,741.75/x
  3. Step 3: Cross multiply
    261,973.75x = 361,523.78 × 142,741.75
  4. Step 4: Simplify right side
    261,973.75x = 51,604,537,023.82
  5. Step 5: Solve for x
    x = 51,604,537,023.82/261,973.75
  6. Step 6: Final answer
    x = 196,983.62

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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.