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Finding the Fourth Proportional to 120,838.60, 181,085.10 and 89,000.20

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Solution

The fourth proportional to 120,838.60, 181,085.10 and 89,000.20 is: 133,373.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838.60 : 181,085.10 = 89,000.20 : x
  2. Step 2: Convert to fraction form
    120,838.60/181,085.10 = 89,000.20/x
  3. Step 3: Cross multiply
    120,838.60x = 181,085.10 × 89,000.20
  4. Step 4: Simplify right side
    120,838.60x = 16,116,610,117.02
  5. Step 5: Solve for x
    x = 16,116,610,117.02/120,838.60
  6. Step 6: Final answer
    x = 133,373.03

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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.