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Finding the Fourth Proportional to 70,522.81, 105,684.78 and 38,947.11

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Solution

The fourth proportional to 70,522.81, 105,684.78 and 38,947.11 is: 58,365.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,522.81 : 105,684.78 = 38,947.11 : x
  2. Step 2: Convert to fraction form
    70,522.81/105,684.78 = 38,947.11/x
  3. Step 3: Cross multiply
    70,522.81x = 105,684.78 × 38,947.11
  4. Step 4: Simplify right side
    70,522.81x = 4,116,116,751.99
  5. Step 5: Solve for x
    x = 4,116,116,751.99/70,522.81
  6. Step 6: Final answer
    x = 58,365.75

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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.