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Finding the Fourth Proportional to 77,078, 115,640.34 and 54,632.12

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Solution

The fourth proportional to 77,078, 115,640.34 and 54,632.12 is: 81,964.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,078 : 115,640.34 = 54,632.12 : x
  2. Step 2: Convert to fraction form
    77,078/115,640.34 = 54,632.12/x
  3. Step 3: Cross multiply
    77,078x = 115,640.34 × 54,632.12
  4. Step 4: Simplify right side
    77,078x = 6,317,676,931.72
  5. Step 5: Solve for x
    x = 6,317,676,931.72/77,078
  6. Step 6: Final answer
    x = 81,964.72

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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.