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Finding the Fourth Proportional to 185,427.40, 278,141.10 and 165,744.40

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Solution

The fourth proportional to 185,427.40, 278,141.10 and 165,744.40 is: 248,616.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,427.40 : 278,141.10 = 165,744.40 : x
  2. Step 2: Convert to fraction form
    185,427.40/278,141.10 = 165,744.40/x
  3. Step 3: Cross multiply
    185,427.40x = 278,141.10 × 165,744.40
  4. Step 4: Simplify right side
    185,427.40x = 46,100,329,734.84
  5. Step 5: Solve for x
    x = 46,100,329,734.84/185,427.40
  6. Step 6: Final answer
    x = 248,616.60

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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.