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Finding the Fourth Proportional to 81,527.54, 122,251.81 and 47,802.78

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Solution

The fourth proportional to 81,527.54, 122,251.81 and 47,802.78 is: 71,681.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,527.54 : 122,251.81 = 47,802.78 : x
  2. Step 2: Convert to fraction form
    81,527.54/122,251.81 = 47,802.78/x
  3. Step 3: Cross multiply
    81,527.54x = 122,251.81 × 47,802.78
  4. Step 4: Simplify right side
    81,527.54x = 5,843,976,378.03
  5. Step 5: Solve for x
    x = 5,843,976,378.03/81,527.54
  6. Step 6: Final answer
    x = 71,681.01

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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.