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Finding the Fourth Proportional to 77,890.80, 116,965.80 and 42,855.60

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Solution

The fourth proportional to 77,890.80, 116,965.80 and 42,855.60 is: 64,354.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,890.80 : 116,965.80 = 42,855.60 : x
  2. Step 2: Convert to fraction form
    77,890.80/116,965.80 = 42,855.60/x
  3. Step 3: Cross multiply
    77,890.80x = 116,965.80 × 42,855.60
  4. Step 4: Simplify right side
    77,890.80x = 5,012,639,538.48
  5. Step 5: Solve for x
    x = 5,012,639,538.48/77,890.80
  6. Step 6: Final answer
    x = 64,354.71

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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.