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Finding the Fourth Proportional to 136,908.40, 204,959.40 and 102,002.80

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Solution

The fourth proportional to 136,908.40, 204,959.40 and 102,002.80 is: 152,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,908.40 : 204,959.40 = 102,002.80 : x
  2. Step 2: Convert to fraction form
    136,908.40/204,959.40 = 102,002.80/x
  3. Step 3: Cross multiply
    136,908.40x = 204,959.40 × 102,002.80
  4. Step 4: Simplify right side
    136,908.40x = 20,906,432,686.32
  5. Step 5: Solve for x
    x = 20,906,432,686.32/136,908.40
  6. Step 6: Final answer
    x = 152,703.80

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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.