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Finding the Fourth Proportional to 76,549.91, 114,827.03 and 21,145.91

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Solution

The fourth proportional to 76,549.91, 114,827.03 and 21,145.91 is: 31,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,549.91 : 114,827.03 = 21,145.91 : x
  2. Step 2: Convert to fraction form
    76,549.91/114,827.03 = 21,145.91/x
  3. Step 3: Cross multiply
    76,549.91x = 114,827.03 × 21,145.91
  4. Step 4: Simplify right side
    76,549.91x = 2,428,121,936.22
  5. Step 5: Solve for x
    x = 2,428,121,936.22/76,549.91
  6. Step 6: Final answer
    x = 31,719.46

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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.