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Finding the Fourth Proportional to 78,990, 118,503.72 and 23,587.44

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Solution

The fourth proportional to 78,990, 118,503.72 and 23,587.44 is: 35,386.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,990 : 118,503.72 = 23,587.44 : x
  2. Step 2: Convert to fraction form
    78,990/118,503.72 = 23,587.44/x
  3. Step 3: Cross multiply
    78,990x = 118,503.72 × 23,587.44
  4. Step 4: Simplify right side
    78,990x = 2,795,199,385.28
  5. Step 5: Solve for x
    x = 2,795,199,385.28/78,990
  6. Step 6: Final answer
    x = 35,386.75

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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.