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Finding the Fourth Proportional to 76,543.84, 114,822.24 and 21,139.84

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Solution

The fourth proportional to 76,543.84, 114,822.24 and 21,139.84 is: 31,711.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,543.84 : 114,822.24 = 21,139.84 : x
  2. Step 2: Convert to fraction form
    76,543.84/114,822.24 = 21,139.84/x
  3. Step 3: Cross multiply
    76,543.84x = 114,822.24 × 21,139.84
  4. Step 4: Simplify right side
    76,543.84x = 2,427,323,102.23
  5. Step 5: Solve for x
    x = 2,427,323,102.23/76,543.84
  6. Step 6: Final answer
    x = 31,711.54

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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.