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Finding the Fourth Proportional to 78,689.76, 118,016.64 and 22,528.80

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Solution

The fourth proportional to 78,689.76, 118,016.64 and 22,528.80 is: 33,788.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,689.76 : 118,016.64 = 22,528.80 : x
  2. Step 2: Convert to fraction form
    78,689.76/118,016.64 = 22,528.80/x
  3. Step 3: Cross multiply
    78,689.76x = 118,016.64 × 22,528.80
  4. Step 4: Simplify right side
    78,689.76x = 2,658,773,279.23
  5. Step 5: Solve for x
    x = 2,658,773,279.23/78,689.76
  6. Step 6: Final answer
    x = 33,788.05

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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.