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Finding the Fourth Proportional to 70,575.24, 105,724.46 and 40,930.80

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Solution

The fourth proportional to 70,575.24, 105,724.46 and 40,930.80 is: 61,315.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,575.24 : 105,724.46 = 40,930.80 : x
  2. Step 2: Convert to fraction form
    70,575.24/105,724.46 = 40,930.80/x
  3. Step 3: Cross multiply
    70,575.24x = 105,724.46 × 40,930.80
  4. Step 4: Simplify right side
    70,575.24x = 4,327,386,727.37
  5. Step 5: Solve for x
    x = 4,327,386,727.37/70,575.24
  6. Step 6: Final answer
    x = 61,315.93

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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.