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Finding the Fourth Proportional to 70,011.20, 105,023.34 and 27,881.12

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Solution

The fourth proportional to 70,011.20, 105,023.34 and 27,881.12 is: 41,824.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,011.20 : 105,023.34 = 27,881.12 : x
  2. Step 2: Convert to fraction form
    70,011.20/105,023.34 = 27,881.12/x
  3. Step 3: Cross multiply
    70,011.20x = 105,023.34 × 27,881.12
  4. Step 4: Simplify right side
    70,011.20x = 2,928,168,345.34
  5. Step 5: Solve for x
    x = 2,928,168,345.34/70,011.20
  6. Step 6: Final answer
    x = 41,824.28

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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.