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Finding the Fourth Proportional to 209,711.12, 314,564.76 and 85,022.48

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Solution

The fourth proportional to 209,711.12, 314,564.76 and 85,022.48 is: 127,532.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,711.12 : 314,564.76 = 85,022.48 : x
  2. Step 2: Convert to fraction form
    209,711.12/314,564.76 = 85,022.48/x
  3. Step 3: Cross multiply
    209,711.12x = 314,564.76 × 85,022.48
  4. Step 4: Simplify right side
    209,711.12x = 26,745,076,015.80
  5. Step 5: Solve for x
    x = 26,745,076,015.80/209,711.12
  6. Step 6: Final answer
    x = 127,532.94

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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.