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Finding the Fourth Proportional to 85,541.40, 128,069.10 and 80,886.60

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Solution

The fourth proportional to 85,541.40, 128,069.10 and 80,886.60 is: 121,100.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,541.40 : 128,069.10 = 80,886.60 : x
  2. Step 2: Convert to fraction form
    85,541.40/128,069.10 = 80,886.60/x
  3. Step 3: Cross multiply
    85,541.40x = 128,069.10 × 80,886.60
  4. Step 4: Simplify right side
    85,541.40x = 10,359,074,064.06
  5. Step 5: Solve for x
    x = 10,359,074,064.06/85,541.40
  6. Step 6: Final answer
    x = 121,100.12

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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.