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Finding the Fourth Proportional to 120,541.32, 180,813.46 and 83,091.32

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Solution

The fourth proportional to 120,541.32, 180,813.46 and 83,091.32 is: 124,638.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,541.32 : 180,813.46 = 83,091.32 : x
  2. Step 2: Convert to fraction form
    120,541.32/180,813.46 = 83,091.32/x
  3. Step 3: Cross multiply
    120,541.32x = 180,813.46 × 83,091.32
  4. Step 4: Simplify right side
    120,541.32x = 15,024,029,065.17
  5. Step 5: Solve for x
    x = 15,024,029,065.17/120,541.32
  6. Step 6: Final answer
    x = 124,638.00

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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.