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Finding the Fourth Proportional to 138,826.60, 208,259.10 and 54,570.60

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Solution

The fourth proportional to 138,826.60, 208,259.10 and 54,570.60 is: 81,863.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,826.60 : 208,259.10 = 54,570.60 : x
  2. Step 2: Convert to fraction form
    138,826.60/208,259.10 = 54,570.60/x
  3. Step 3: Cross multiply
    138,826.60x = 208,259.10 × 54,570.60
  4. Step 4: Simplify right side
    138,826.60x = 11,364,824,042.46
  5. Step 5: Solve for x
    x = 11,364,824,042.46/138,826.60
  6. Step 6: Final answer
    x = 81,863.45

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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.