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Finding the Fourth Proportional to 76,881.90, 115,322.15 and 24,291.38

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Solution

The fourth proportional to 76,881.90, 115,322.15 and 24,291.38 is: 36,436.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,881.90 : 115,322.15 = 24,291.38 : x
  2. Step 2: Convert to fraction form
    76,881.90/115,322.15 = 24,291.38/x
  3. Step 3: Cross multiply
    76,881.90x = 115,322.15 × 24,291.38
  4. Step 4: Simplify right side
    76,881.90x = 2,801,334,168.07
  5. Step 5: Solve for x
    x = 2,801,334,168.07/76,881.90
  6. Step 6: Final answer
    x = 36,436.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.