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Finding the Fourth Proportional to 209,892.81, 314,888.46 and 83,540.73

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Solution

The fourth proportional to 209,892.81, 314,888.46 and 83,540.73 is: 125,330.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,892.81 : 314,888.46 = 83,540.73 : x
  2. Step 2: Convert to fraction form
    209,892.81/314,888.46 = 83,540.73/x
  3. Step 3: Cross multiply
    209,892.81x = 314,888.46 × 83,540.73
  4. Step 4: Simplify right side
    209,892.81x = 26,306,011,816.98
  5. Step 5: Solve for x
    x = 26,306,011,816.98/209,892.81
  6. Step 6: Final answer
    x = 125,330.70

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1.5x scale

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.