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Finding the Fourth Proportional to 70,653, 105,840.98 and 41,008.68

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Solution

The fourth proportional to 70,653, 105,840.98 and 41,008.68 is: 61,432.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,653 : 105,840.98 = 41,008.68 : x
  2. Step 2: Convert to fraction form
    70,653/105,840.98 = 41,008.68/x
  3. Step 3: Cross multiply
    70,653x = 105,840.98 × 41,008.68
  4. Step 4: Simplify right side
    70,653x = 4,340,398,879.71
  5. Step 5: Solve for x
    x = 4,340,398,879.71/70,653
  6. Step 6: Final answer
    x = 61,432.62

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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.