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Finding the Fourth Proportional to 138,017.60, 207,192.80 and 78,894.40

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Solution

The fourth proportional to 138,017.60, 207,192.80 and 78,894.40 is: 118,436.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,017.60 : 207,192.80 = 78,894.40 : x
  2. Step 2: Convert to fraction form
    138,017.60/207,192.80 = 78,894.40/x
  3. Step 3: Cross multiply
    138,017.60x = 207,192.80 × 78,894.40
  4. Step 4: Simplify right side
    138,017.60x = 16,346,351,640.32
  5. Step 5: Solve for x
    x = 16,346,351,640.32/138,017.60
  6. Step 6: Final answer
    x = 118,436.72

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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.