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Finding the Fourth Proportional to 76,658.82, 114,988.14 and 21,254.82

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Solution

The fourth proportional to 76,658.82, 114,988.14 and 21,254.82 is: 31,882.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,658.82 : 114,988.14 = 21,254.82 : x
  2. Step 2: Convert to fraction form
    76,658.82/114,988.14 = 21,254.82/x
  3. Step 3: Cross multiply
    76,658.82x = 114,988.14 × 21,254.82
  4. Step 4: Simplify right side
    76,658.82x = 2,444,052,217.83
  5. Step 5: Solve for x
    x = 2,444,052,217.83/76,658.82
  6. Step 6: Final answer
    x = 31,882.21

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1.5x scale

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.