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Finding the Fourth Proportional to 138,274.80, 207,266.40 and 54,002.40

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Solution

The fourth proportional to 138,274.80, 207,266.40 and 54,002.40 is: 80,946.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,274.80 : 207,266.40 = 54,002.40 : x
  2. Step 2: Convert to fraction form
    138,274.80/207,266.40 = 54,002.40/x
  3. Step 3: Cross multiply
    138,274.80x = 207,266.40 × 54,002.40
  4. Step 4: Simplify right side
    138,274.80x = 11,192,883,039.36
  5. Step 5: Solve for x
    x = 11,192,883,039.36/138,274.80
  6. Step 6: Final answer
    x = 80,946.66

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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.