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Finding the Fourth Proportional to 102,782.28, 154,171.02 and 47,378.28

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Solution

The fourth proportional to 102,782.28, 154,171.02 and 47,378.28 is: 71,066.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,782.28 : 154,171.02 = 47,378.28 : x
  2. Step 2: Convert to fraction form
    102,782.28/154,171.02 = 47,378.28/x
  3. Step 3: Cross multiply
    102,782.28x = 154,171.02 × 47,378.28
  4. Step 4: Simplify right side
    102,782.28x = 7,304,357,753.45
  5. Step 5: Solve for x
    x = 7,304,357,753.45/102,782.28
  6. Step 6: Final answer
    x = 71,066.31

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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.