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Finding the Fourth Proportional to 70,471.83, 105,500.39 and 47,040.15

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Solution

The fourth proportional to 70,471.83, 105,500.39 and 47,040.15 is: 70,421.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.83 : 105,500.39 = 47,040.15 : x
  2. Step 2: Convert to fraction form
    70,471.83/105,500.39 = 47,040.15/x
  3. Step 3: Cross multiply
    70,471.83x = 105,500.39 × 47,040.15
  4. Step 4: Simplify right side
    70,471.83x = 4,962,753,935.46
  5. Step 5: Solve for x
    x = 4,962,753,935.46/70,471.83
  6. Step 6: Final answer
    x = 70,421.81

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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.