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Finding the Fourth Proportional to 209,952.30, 314,928.45 and 85,382.70

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Solution

The fourth proportional to 209,952.30, 314,928.45 and 85,382.70 is: 128,074.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952.30 : 314,928.45 = 85,382.70 : x
  2. Step 2: Convert to fraction form
    209,952.30/314,928.45 = 85,382.70/x
  3. Step 3: Cross multiply
    209,952.30x = 314,928.45 × 85,382.70
  4. Step 4: Simplify right side
    209,952.30x = 26,889,441,367.82
  5. Step 5: Solve for x
    x = 26,889,441,367.82/209,952.30
  6. Step 6: Final answer
    x = 128,074.05

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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.