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Finding the Fourth Proportional to 76,264, 114,402.84 and 20,103.36

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Solution

The fourth proportional to 76,264, 114,402.84 and 20,103.36 is: 30,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,264 : 114,402.84 = 20,103.36 : x
  2. Step 2: Convert to fraction form
    76,264/114,402.84 = 20,103.36/x
  3. Step 3: Cross multiply
    76,264x = 114,402.84 × 20,103.36
  4. Step 4: Simplify right side
    76,264x = 2,299,881,477.54
  5. Step 5: Solve for x
    x = 2,299,881,477.54/76,264
  6. Step 6: Final answer
    x = 30,156.84

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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.