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Finding the Fourth Proportional to 78,033.60, 117,054.72 and 33,062.40

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Solution

The fourth proportional to 78,033.60, 117,054.72 and 33,062.40 is: 49,595.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,033.60 : 117,054.72 = 33,062.40 : x
  2. Step 2: Convert to fraction form
    78,033.60/117,054.72 = 33,062.40/x
  3. Step 3: Cross multiply
    78,033.60x = 117,054.72 × 33,062.40
  4. Step 4: Simplify right side
    78,033.60x = 3,870,109,974.53
  5. Step 5: Solve for x
    x = 3,870,109,974.53/78,033.60
  6. Step 6: Final answer
    x = 49,595.43

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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.