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Finding the Fourth Proportional to 76,542.16, 114,815.40 and 21,138.16

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Solution

The fourth proportional to 76,542.16, 114,815.40 and 21,138.16 is: 31,707.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,542.16 : 114,815.40 = 21,138.16 : x
  2. Step 2: Convert to fraction form
    76,542.16/114,815.40 = 21,138.16/x
  3. Step 3: Cross multiply
    76,542.16x = 114,815.40 × 21,138.16
  4. Step 4: Simplify right side
    76,542.16x = 2,426,986,295.66
  5. Step 5: Solve for x
    x = 2,426,986,295.66/76,542.16
  6. Step 6: Final answer
    x = 31,707.84

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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.