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Finding the Fourth Proportional to 78,468.78, 117,545.58 and 36,289.74

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Solution

The fourth proportional to 78,468.78, 117,545.58 and 36,289.74 is: 54,361.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,468.78 : 117,545.58 = 36,289.74 : x
  2. Step 2: Convert to fraction form
    78,468.78/117,545.58 = 36,289.74/x
  3. Step 3: Cross multiply
    78,468.78x = 117,545.58 × 36,289.74
  4. Step 4: Simplify right side
    78,468.78x = 4,265,698,536.35
  5. Step 5: Solve for x
    x = 4,265,698,536.35/78,468.78
  6. Step 6: Final answer
    x = 54,361.73

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Why These Related Problems?

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