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Finding the Fourth Proportional to 261,893.80, 361,413.90 and 148,716.52

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Solution

The fourth proportional to 261,893.80, 361,413.90 and 148,716.52 is: 205,229.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,893.80 : 361,413.90 = 148,716.52 : x
  2. Step 2: Convert to fraction form
    261,893.80/361,413.90 = 148,716.52/x
  3. Step 3: Cross multiply
    261,893.80x = 361,413.90 × 148,716.52
  4. Step 4: Simplify right side
    261,893.80x = 53,748,217,487.63
  5. Step 5: Solve for x
    x = 53,748,217,487.63/261,893.80
  6. Step 6: Final answer
    x = 205,229.06

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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.