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Finding the Fourth Proportional to 77,862, 116,804.52 and 36,286.32

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Solution

The fourth proportional to 77,862, 116,804.52 and 36,286.32 is: 54,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,862 : 116,804.52 = 36,286.32 : x
  2. Step 2: Convert to fraction form
    77,862/116,804.52 = 36,286.32/x
  3. Step 3: Cross multiply
    77,862x = 116,804.52 × 36,286.32
  4. Step 4: Simplify right side
    77,862x = 4,238,406,190.17
  5. Step 5: Solve for x
    x = 4,238,406,190.17/77,862
  6. Step 6: Final answer
    x = 54,434.85

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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.