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Finding the Fourth Proportional to 103,494.57, 142,834.41 and 57,558.88

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Solution

The fourth proportional to 103,494.57, 142,834.41 and 57,558.88 is: 79,437.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,494.57 : 142,834.41 = 57,558.88 : x
  2. Step 2: Convert to fraction form
    103,494.57/142,834.41 = 57,558.88/x
  3. Step 3: Cross multiply
    103,494.57x = 142,834.41 × 57,558.88
  4. Step 4: Simplify right side
    103,494.57x = 8,221,388,603.77
  5. Step 5: Solve for x
    x = 8,221,388,603.77/103,494.57
  6. Step 6: Final answer
    x = 79,437.87

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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.