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Finding the Fourth Proportional to 261,808.90, 361,298.01 and 148,633.54

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Solution

The fourth proportional to 261,808.90, 361,298.01 and 148,633.54 is: 205,115.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,808.90 : 361,298.01 = 148,633.54 : x
  2. Step 2: Convert to fraction form
    261,808.90/361,298.01 = 148,633.54/x
  3. Step 3: Cross multiply
    261,808.90x = 361,298.01 × 148,633.54
  4. Step 4: Simplify right side
    261,808.90x = 53,701,002,221.26
  5. Step 5: Solve for x
    x = 53,701,002,221.26/261,808.90
  6. Step 6: Final answer
    x = 205,115.27

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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.