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Finding the Fourth Proportional to 138,825.60, 208,257.60 and 54,569.60

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Solution

The fourth proportional to 138,825.60, 208,257.60 and 54,569.60 is: 81,861.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,825.60 : 208,257.60 = 54,569.60 : x
  2. Step 2: Convert to fraction form
    138,825.60/208,257.60 = 54,569.60/x
  3. Step 3: Cross multiply
    138,825.60x = 208,257.60 × 54,569.60
  4. Step 4: Simplify right side
    138,825.60x = 11,364,533,928.96
  5. Step 5: Solve for x
    x = 11,364,533,928.96/138,825.60
  6. Step 6: Final answer
    x = 81,861.95

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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.