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Finding the Fourth Proportional to 136,919.20, 205,400.40 and 43,434.40

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Solution

The fourth proportional to 136,919.20, 205,400.40 and 43,434.40 is: 65,158.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,919.20 : 205,400.40 = 43,434.40 : x
  2. Step 2: Convert to fraction form
    136,919.20/205,400.40 = 43,434.40/x
  3. Step 3: Cross multiply
    136,919.20x = 205,400.40 × 43,434.40
  4. Step 4: Simplify right side
    136,919.20x = 8,921,443,133.76
  5. Step 5: Solve for x
    x = 8,921,443,133.76/136,919.20
  6. Step 6: Final answer
    x = 65,158.45

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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.