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Finding the Fourth Proportional to 78,838.60, 118,257.90 and 41,384.20

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Solution

The fourth proportional to 78,838.60, 118,257.90 and 41,384.20 is: 62,076.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,838.60 : 118,257.90 = 41,384.20 : x
  2. Step 2: Convert to fraction form
    78,838.60/118,257.90 = 41,384.20/x
  3. Step 3: Cross multiply
    78,838.60x = 118,257.90 × 41,384.20
  4. Step 4: Simplify right side
    78,838.60x = 4,894,008,585.18
  5. Step 5: Solve for x
    x = 4,894,008,585.18/78,838.60
  6. Step 6: Final answer
    x = 62,076.30

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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.