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Finding the Fourth Proportional to 94,780.80, 142,123.64 and 31,578.69

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Solution

The fourth proportional to 94,780.80, 142,123.64 and 31,578.69 is: 47,352.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,780.80 : 142,123.64 = 31,578.69 : x
  2. Step 2: Convert to fraction form
    94,780.80/142,123.64 = 31,578.69/x
  3. Step 3: Cross multiply
    94,780.80x = 142,123.64 × 31,578.69
  4. Step 4: Simplify right side
    94,780.80x = 4,488,078,369.23
  5. Step 5: Solve for x
    x = 4,488,078,369.23/94,780.80
  6. Step 6: Final answer
    x = 47,352.19

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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.