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Finding the Fourth Proportional to 120,842.30, 180,905.05 and 89,815.10

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Solution

The fourth proportional to 120,842.30, 180,905.05 and 89,815.10 is: 134,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,842.30 : 180,905.05 = 89,815.10 : x
  2. Step 2: Convert to fraction form
    120,842.30/180,905.05 = 89,815.10/x
  3. Step 3: Cross multiply
    120,842.30x = 180,905.05 × 89,815.10
  4. Step 4: Simplify right side
    120,842.30x = 16,248,005,156.26
  5. Step 5: Solve for x
    x = 16,248,005,156.26/120,842.30
  6. Step 6: Final answer
    x = 134,456.27

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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.