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Finding the Fourth Proportional to 70,652, 105,978 and 26,227.28

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Solution

The fourth proportional to 70,652, 105,978 and 26,227.28 is: 39,340.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,652 : 105,978 = 26,227.28 : x
  2. Step 2: Convert to fraction form
    70,652/105,978 = 26,227.28/x
  3. Step 3: Cross multiply
    70,652x = 105,978 × 26,227.28
  4. Step 4: Simplify right side
    70,652x = 2,779,514,679.84
  5. Step 5: Solve for x
    x = 2,779,514,679.84/70,652
  6. Step 6: Final answer
    x = 39,340.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.