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Finding the Fourth Proportional to 142,658.79, 213,992.08 and 42,818.98

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Solution

The fourth proportional to 142,658.79, 213,992.08 and 42,818.98 is: 64,229.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658.79 : 213,992.08 = 42,818.98 : x
  2. Step 2: Convert to fraction form
    142,658.79/213,992.08 = 42,818.98/x
  3. Step 3: Cross multiply
    142,658.79x = 213,992.08 × 42,818.98
  4. Step 4: Simplify right side
    142,658.79x = 9,162,922,593.68
  5. Step 5: Solve for x
    x = 9,162,922,593.68/142,658.79
  6. Step 6: Final answer
    x = 64,229.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.