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Finding the Fourth Proportional to 142,658.53, 196,868.45 and 82,228.76

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Solution

The fourth proportional to 142,658.53, 196,868.45 and 82,228.76 is: 113,475.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658.53 : 196,868.45 = 82,228.76 : x
  2. Step 2: Convert to fraction form
    142,658.53/196,868.45 = 82,228.76/x
  3. Step 3: Cross multiply
    142,658.53x = 196,868.45 × 82,228.76
  4. Step 4: Simplify right side
    142,658.53x = 16,188,248,486.11
  5. Step 5: Solve for x
    x = 16,188,248,486.11/142,658.53
  6. Step 6: Final answer
    x = 113,475.51

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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.