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Finding the Fourth Proportional to 113,712.80, 156,937.22 and 65,967.76

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Solution

The fourth proportional to 113,712.80, 156,937.22 and 65,967.76 is: 91,043.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,712.80 : 156,937.22 = 65,967.76 : x
  2. Step 2: Convert to fraction form
    113,712.80/156,937.22 = 65,967.76/x
  3. Step 3: Cross multiply
    113,712.80x = 156,937.22 × 65,967.76
  4. Step 4: Simplify right side
    113,712.80x = 10,352,796,636.60
  5. Step 5: Solve for x
    x = 10,352,796,636.60/113,712.80
  6. Step 6: Final answer
    x = 91,043.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.