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Finding the Fourth Proportional to 70,271.68, 105,238.61 and 40,194.74

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Solution

The fourth proportional to 70,271.68, 105,238.61 and 40,194.74 is: 60,195.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,271.68 : 105,238.61 = 40,194.74 : x
  2. Step 2: Convert to fraction form
    70,271.68/105,238.61 = 40,194.74/x
  3. Step 3: Cross multiply
    70,271.68x = 105,238.61 × 40,194.74
  4. Step 4: Simplify right side
    70,271.68x = 4,230,038,141.21
  5. Step 5: Solve for x
    x = 4,230,038,141.21/70,271.68
  6. Step 6: Final answer
    x = 60,195.49

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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.