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Finding the Fourth Proportional to 142,655.87, 196,865.09 and 78,993.67

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Solution

The fourth proportional to 142,655.87, 196,865.09 and 78,993.67 is: 109,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,655.87 : 196,865.09 = 78,993.67 : x
  2. Step 2: Convert to fraction form
    142,655.87/196,865.09 = 78,993.67/x
  3. Step 3: Cross multiply
    142,655.87x = 196,865.09 × 78,993.67
  4. Step 4: Simplify right side
    142,655.87x = 15,551,094,574.69
  5. Step 5: Solve for x
    x = 15,551,094,574.69/142,655.87
  6. Step 6: Final answer
    x = 109,011.25

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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.