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Finding the Fourth Proportional to 120,838.40, 181,290.24 and 85,999.20

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Solution

The fourth proportional to 120,838.40, 181,290.24 and 85,999.20 is: 129,022.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,838.40 : 181,290.24 = 85,999.20 : x
  2. Step 2: Convert to fraction form
    120,838.40/181,290.24 = 85,999.20/x
  3. Step 3: Cross multiply
    120,838.40x = 181,290.24 × 85,999.20
  4. Step 4: Simplify right side
    120,838.40x = 15,590,815,607.81
  5. Step 5: Solve for x
    x = 15,590,815,607.81/120,838.40
  6. Step 6: Final answer
    x = 129,022.03

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1.5x scale

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.