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Finding the Fourth Proportional to 89,720.60, 134,435.10 and 77,181.80

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Solution

The fourth proportional to 89,720.60, 134,435.10 and 77,181.80 is: 115,647.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,720.60 : 134,435.10 = 77,181.80 : x
  2. Step 2: Convert to fraction form
    89,720.60/134,435.10 = 77,181.80/x
  3. Step 3: Cross multiply
    89,720.60x = 134,435.10 × 77,181.80
  4. Step 4: Simplify right side
    89,720.60x = 10,375,943,001.18
  5. Step 5: Solve for x
    x = 10,375,943,001.18/89,720.60
  6. Step 6: Final answer
    x = 115,647.28

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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.