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Finding the Fourth Proportional to 115,468, 172,701.64 and 67,969.92

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Solution

The fourth proportional to 115,468, 172,701.64 and 67,969.92 is: 101,660.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,468 : 172,701.64 = 67,969.92 : x
  2. Step 2: Convert to fraction form
    115,468/172,701.64 = 67,969.92/x
  3. Step 3: Cross multiply
    115,468x = 172,701.64 × 67,969.92
  4. Step 4: Simplify right side
    115,468x = 11,738,516,654.67
  5. Step 5: Solve for x
    x = 11,738,516,654.67/115,468
  6. Step 6: Final answer
    x = 101,660.34

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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.