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Finding the Fourth Proportional to 78,671.54, 117,990.90 and 28,775.13

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Solution

The fourth proportional to 78,671.54, 117,990.90 and 28,775.13 is: 43,156.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,671.54 : 117,990.90 = 28,775.13 : x
  2. Step 2: Convert to fraction form
    78,671.54/117,990.90 = 28,775.13/x
  3. Step 3: Cross multiply
    78,671.54x = 117,990.90 × 28,775.13
  4. Step 4: Simplify right side
    78,671.54x = 3,395,203,486.32
  5. Step 5: Solve for x
    x = 3,395,203,486.32/78,671.54
  6. Step 6: Final answer
    x = 43,156.70

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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.