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Finding the Fourth Proportional to 142,252.92, 196,309.44 and 77,722.92

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Solution

The fourth proportional to 142,252.92, 196,309.44 and 77,722.92 is: 107,257.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,252.92 : 196,309.44 = 77,722.92 : x
  2. Step 2: Convert to fraction form
    142,252.92/196,309.44 = 77,722.92/x
  3. Step 3: Cross multiply
    142,252.92x = 196,309.44 × 77,722.92
  4. Step 4: Simplify right side
    142,252.92x = 15,257,742,900.36
  5. Step 5: Solve for x
    x = 15,257,742,900.36/142,252.92
  6. Step 6: Final answer
    x = 107,257.85

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1.5x scale

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.