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Finding the Fourth Proportional to 84,155.88, 126,216.54 and 31,564.20

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Solution

The fourth proportional to 84,155.88, 126,216.54 and 31,564.20 is: 47,339.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,155.88 : 126,216.54 = 31,564.20 : x
  2. Step 2: Convert to fraction form
    84,155.88/126,216.54 = 31,564.20/x
  3. Step 3: Cross multiply
    84,155.88x = 126,216.54 × 31,564.20
  4. Step 4: Simplify right side
    84,155.88x = 3,983,924,111.87
  5. Step 5: Solve for x
    x = 3,983,924,111.87/84,155.88
  6. Step 6: Final answer
    x = 47,339.82

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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.