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Finding the Fourth Proportional to 142,424.70, 196,484.31 and 85,803.54

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Solution

The fourth proportional to 142,424.70, 196,484.31 and 85,803.54 is: 118,371.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,424.70 : 196,484.31 = 85,803.54 : x
  2. Step 2: Convert to fraction form
    142,424.70/196,484.31 = 85,803.54/x
  3. Step 3: Cross multiply
    142,424.70x = 196,484.31 × 85,803.54
  4. Step 4: Simplify right side
    142,424.70x = 16,859,049,352.46
  5. Step 5: Solve for x
    x = 16,859,049,352.46/142,424.70
  6. Step 6: Final answer
    x = 118,371.67

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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.