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Finding the Fourth Proportional to 185,805.63, 278,713.71 and 45,564.12

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Solution

The fourth proportional to 185,805.63, 278,713.71 and 45,564.12 is: 68,347.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,805.63 : 278,713.71 = 45,564.12 : x
  2. Step 2: Convert to fraction form
    185,805.63/278,713.71 = 45,564.12/x
  3. Step 3: Cross multiply
    185,805.63x = 278,713.71 × 45,564.12
  4. Step 4: Simplify right side
    185,805.63x = 12,699,344,928.09
  5. Step 5: Solve for x
    x = 12,699,344,928.09/185,805.63
  6. Step 6: Final answer
    x = 68,347.47

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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.