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Finding the Fourth Proportional to 261,857.40, 361,359.93 and 148,672.86

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Solution

The fourth proportional to 261,857.40, 361,359.93 and 148,672.86 is: 205,166.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,857.40 : 361,359.93 = 148,672.86 : x
  2. Step 2: Convert to fraction form
    261,857.40/361,359.93 = 148,672.86/x
  3. Step 3: Cross multiply
    261,857.40x = 361,359.93 × 148,672.86
  4. Step 4: Simplify right side
    261,857.40x = 53,724,414,282.50
  5. Step 5: Solve for x
    x = 53,724,414,282.50/261,857.40
  6. Step 6: Final answer
    x = 205,166.68

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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.