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Finding the Fourth Proportional to 70,749.53, 106,125.06 and 20,830.57

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Solution

The fourth proportional to 70,749.53, 106,125.06 and 20,830.57 is: 31,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,749.53 : 106,125.06 = 20,830.57 : x
  2. Step 2: Convert to fraction form
    70,749.53/106,125.06 = 20,830.57/x
  3. Step 3: Cross multiply
    70,749.53x = 106,125.06 × 20,830.57
  4. Step 4: Simplify right side
    70,749.53x = 2,210,645,900.84
  5. Step 5: Solve for x
    x = 2,210,645,900.84/70,749.53
  6. Step 6: Final answer
    x = 31,246.08

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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.