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Finding the Fourth Proportional to 78,214.60, 117,321.90 and 25,611.40

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Solution

The fourth proportional to 78,214.60, 117,321.90 and 25,611.40 is: 38,417.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,214.60 : 117,321.90 = 25,611.40 : x
  2. Step 2: Convert to fraction form
    78,214.60/117,321.90 = 25,611.40/x
  3. Step 3: Cross multiply
    78,214.60x = 117,321.90 × 25,611.40
  4. Step 4: Simplify right side
    78,214.60x = 3,004,778,109.66
  5. Step 5: Solve for x
    x = 3,004,778,109.66/78,214.60
  6. Step 6: Final answer
    x = 38,417.10

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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.