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Finding the Fourth Proportional to 70,704.39, 106,043.82 and 28,582.77

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Solution

The fourth proportional to 70,704.39, 106,043.82 and 28,582.77 is: 42,868.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,704.39 : 106,043.82 = 28,582.77 : x
  2. Step 2: Convert to fraction form
    70,704.39/106,043.82 = 28,582.77/x
  3. Step 3: Cross multiply
    70,704.39x = 106,043.82 × 28,582.77
  4. Step 4: Simplify right side
    70,704.39x = 3,031,026,116.98
  5. Step 5: Solve for x
    x = 3,031,026,116.98/70,704.39
  6. Step 6: Final answer
    x = 42,868.99

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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.