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Finding the Fourth Proportional to 261,805.73, 361,293.35 and 147,089.21

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Solution

The fourth proportional to 261,805.73, 361,293.35 and 147,089.21 is: 202,983.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,805.73 : 361,293.35 = 147,089.21 : x
  2. Step 2: Convert to fraction form
    261,805.73/361,293.35 = 147,089.21/x
  3. Step 3: Cross multiply
    261,805.73x = 361,293.35 × 147,089.21
  4. Step 4: Simplify right side
    261,805.73x = 53,142,353,429.75
  5. Step 5: Solve for x
    x = 53,142,353,429.75/261,805.73
  6. Step 6: Final answer
    x = 202,983.92

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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.