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Finding the Fourth Proportional to 101,856.64, 140,559.30 and 55,916.27

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Solution

The fourth proportional to 101,856.64, 140,559.30 and 55,916.27 is: 77,162.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,856.64 : 140,559.30 = 55,916.27 : x
  2. Step 2: Convert to fraction form
    101,856.64/140,559.30 = 55,916.27/x
  3. Step 3: Cross multiply
    101,856.64x = 140,559.30 × 55,916.27
  4. Step 4: Simplify right side
    101,856.64x = 7,859,551,769.81
  5. Step 5: Solve for x
    x = 7,859,551,769.81/101,856.64
  6. Step 6: Final answer
    x = 77,162.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.