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Finding the Fourth Proportional to 70,947.81, 106,408.95 and 18,354.11

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Solution

The fourth proportional to 70,947.81, 106,408.95 and 18,354.11 is: 27,527.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,947.81 : 106,408.95 = 18,354.11 : x
  2. Step 2: Convert to fraction form
    70,947.81/106,408.95 = 18,354.11/x
  3. Step 3: Cross multiply
    70,947.81x = 106,408.95 × 18,354.11
  4. Step 4: Simplify right side
    70,947.81x = 1,953,041,041.24
  5. Step 5: Solve for x
    x = 1,953,041,041.24/70,947.81
  6. Step 6: Final answer
    x = 27,527.86

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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.