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Finding the Fourth Proportional to 132,803.40, 199,205.10 and 122,743.20

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Solution

The fourth proportional to 132,803.40, 199,205.10 and 122,743.20 is: 184,114.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,803.40 : 199,205.10 = 122,743.20 : x
  2. Step 2: Convert to fraction form
    132,803.40/199,205.10 = 122,743.20/x
  3. Step 3: Cross multiply
    132,803.40x = 199,205.10 × 122,743.20
  4. Step 4: Simplify right side
    132,803.40x = 24,451,071,430.32
  5. Step 5: Solve for x
    x = 24,451,071,430.32/132,803.40
  6. Step 6: Final answer
    x = 184,114.80

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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.