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Finding the Fourth Proportional to 84,237, 126,354.98 and 21,056.80

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Solution

The fourth proportional to 84,237, 126,354.98 and 21,056.80 is: 31,585.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,237 : 126,354.98 = 21,056.80 : x
  2. Step 2: Convert to fraction form
    84,237/126,354.98 = 21,056.80/x
  3. Step 3: Cross multiply
    84,237x = 126,354.98 × 21,056.80
  4. Step 4: Simplify right side
    84,237x = 2,660,631,542.86
  5. Step 5: Solve for x
    x = 2,660,631,542.86/84,237
  6. Step 6: Final answer
    x = 31,585.07

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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.