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Finding the Fourth Proportional to 70,020.95, 105,045.08 and 22,647.78

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Solution

The fourth proportional to 70,020.95, 105,045.08 and 22,647.78 is: 33,976.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,020.95 : 105,045.08 = 22,647.78 : x
  2. Step 2: Convert to fraction form
    70,020.95/105,045.08 = 22,647.78/x
  3. Step 3: Cross multiply
    70,020.95x = 105,045.08 × 22,647.78
  4. Step 4: Simplify right side
    70,020.95x = 2,379,037,748.68
  5. Step 5: Solve for x
    x = 2,379,037,748.68/70,020.95
  6. Step 6: Final answer
    x = 33,976.09

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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.