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Finding the Fourth Proportional to 89,097.84, 122,808.60 and 71,161.20

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Solution

The fourth proportional to 89,097.84, 122,808.60 and 71,161.20 is: 98,085.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,097.84 : 122,808.60 = 71,161.20 : x
  2. Step 2: Convert to fraction form
    89,097.84/122,808.60 = 71,161.20/x
  3. Step 3: Cross multiply
    89,097.84x = 122,808.60 × 71,161.20
  4. Step 4: Simplify right side
    89,097.84x = 8,739,207,346.32
  5. Step 5: Solve for x
    x = 8,739,207,346.32/89,097.84
  6. Step 6: Final answer
    x = 98,085.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.