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Finding the Fourth Proportional to 70,471.08, 105,499.26 and 47,039.40

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Solution

The fourth proportional to 70,471.08, 105,499.26 and 47,039.40 is: 70,420.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,471.08 : 105,499.26 = 47,039.40 : x
  2. Step 2: Convert to fraction form
    70,471.08/105,499.26 = 47,039.40/x
  3. Step 3: Cross multiply
    70,471.08x = 105,499.26 × 47,039.40
  4. Step 4: Simplify right side
    70,471.08x = 4,962,621,890.84
  5. Step 5: Solve for x
    x = 4,962,621,890.84/70,471.08
  6. Step 6: Final answer
    x = 70,420.69

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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.