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Finding the Fourth Proportional to 136,315.20, 204,472.80 and 77,266.20

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Solution

The fourth proportional to 136,315.20, 204,472.80 and 77,266.20 is: 115,899.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,315.20 : 204,472.80 = 77,266.20 : x
  2. Step 2: Convert to fraction form
    136,315.20/204,472.80 = 77,266.20/x
  3. Step 3: Cross multiply
    136,315.20x = 204,472.80 × 77,266.20
  4. Step 4: Simplify right side
    136,315.20x = 15,798,836,259.36
  5. Step 5: Solve for x
    x = 15,798,836,259.36/136,315.20
  6. Step 6: Final answer
    x = 115,899.30

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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.