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Finding the Fourth Proportional to 209,632.60, 314,468.10 and 84,947.80

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Solution

The fourth proportional to 209,632.60, 314,468.10 and 84,947.80 is: 127,429.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,632.60 : 314,468.10 = 84,947.80 : x
  2. Step 2: Convert to fraction form
    209,632.60/314,468.10 = 84,947.80/x
  3. Step 3: Cross multiply
    209,632.60x = 314,468.10 × 84,947.80
  4. Step 4: Simplify right side
    209,632.60x = 26,713,373,265.18
  5. Step 5: Solve for x
    x = 26,713,373,265.18/209,632.60
  6. Step 6: Final answer
    x = 127,429.48

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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.