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Finding the Fourth Proportional to 148,427.64, 204,822.54 and 81,346.68

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Solution

The fourth proportional to 148,427.64, 204,822.54 and 81,346.68 is: 112,254.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,427.64 : 204,822.54 = 81,346.68 : x
  2. Step 2: Convert to fraction form
    148,427.64/204,822.54 = 81,346.68/x
  3. Step 3: Cross multiply
    148,427.64x = 204,822.54 × 81,346.68
  4. Step 4: Simplify right side
    148,427.64x = 16,661,633,618.17
  5. Step 5: Solve for x
    x = 16,661,633,618.17/148,427.64
  6. Step 6: Final answer
    x = 112,254.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.