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Finding the Fourth Proportional to 70,886.46, 106,347.90 and 20,964.54

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Solution

The fourth proportional to 70,886.46, 106,347.90 and 20,964.54 is: 31,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,886.46 : 106,347.90 = 20,964.54 : x
  2. Step 2: Convert to fraction form
    70,886.46/106,347.90 = 20,964.54/x
  3. Step 3: Cross multiply
    70,886.46x = 106,347.90 × 20,964.54
  4. Step 4: Simplify right side
    70,886.46x = 2,229,534,803.47
  5. Step 5: Solve for x
    x = 2,229,534,803.47/70,886.46
  6. Step 6: Final answer
    x = 31,452.20

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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.