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Finding the Fourth Proportional to 137,328.60, 205,850.88 and 78,036.60

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Solution

The fourth proportional to 137,328.60, 205,850.88 and 78,036.60 is: 116,974.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,328.60 : 205,850.88 = 78,036.60 : x
  2. Step 2: Convert to fraction form
    137,328.60/205,850.88 = 78,036.60/x
  3. Step 3: Cross multiply
    137,328.60x = 205,850.88 × 78,036.60
  4. Step 4: Simplify right side
    137,328.60x = 16,063,902,782.21
  5. Step 5: Solve for x
    x = 16,063,902,782.21/137,328.60
  6. Step 6: Final answer
    x = 116,974.20

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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.