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Finding the Fourth Proportional to 138,460.40, 207,679.80 and 54,204.20

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Solution

The fourth proportional to 138,460.40, 207,679.80 and 54,204.20 is: 81,302.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,460.40 : 207,679.80 = 54,204.20 : x
  2. Step 2: Convert to fraction form
    138,460.40/207,679.80 = 54,204.20/x
  3. Step 3: Cross multiply
    138,460.40x = 207,679.80 × 54,204.20
  4. Step 4: Simplify right side
    138,460.40x = 11,257,117,415.16
  5. Step 5: Solve for x
    x = 11,257,117,415.16/138,460.40
  6. Step 6: Final answer
    x = 81,302.07

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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.