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Finding the Fourth Proportional to 215,046.40, 322,492.80 and 74,809.60

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Solution

The fourth proportional to 215,046.40, 322,492.80 and 74,809.60 is: 112,187.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,046.40 : 322,492.80 = 74,809.60 : x
  2. Step 2: Convert to fraction form
    215,046.40/322,492.80 = 74,809.60/x
  3. Step 3: Cross multiply
    215,046.40x = 322,492.80 × 74,809.60
  4. Step 4: Simplify right side
    215,046.40x = 24,125,557,370.88
  5. Step 5: Solve for x
    x = 24,125,557,370.88/215,046.40
  6. Step 6: Final answer
    x = 112,187.68

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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.