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Finding the Fourth Proportional to 103,178.91, 142,392.83 and 57,871.43

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Solution

The fourth proportional to 103,178.91, 142,392.83 and 57,871.43 is: 79,865.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,178.91 : 142,392.83 = 57,871.43 : x
  2. Step 2: Convert to fraction form
    103,178.91/142,392.83 = 57,871.43/x
  3. Step 3: Cross multiply
    103,178.91x = 142,392.83 × 57,871.43
  4. Step 4: Simplify right side
    103,178.91x = 8,240,475,692.53
  5. Step 5: Solve for x
    x = 8,240,475,692.53/103,178.91
  6. Step 6: Final answer
    x = 79,865.89

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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.