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Finding the Fourth Proportional to 208,695.79, 312,982.12 and 88,752.51

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Solution

The fourth proportional to 208,695.79, 312,982.12 and 88,752.51 is: 133,102.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,695.79 : 312,982.12 = 88,752.51 : x
  2. Step 2: Convert to fraction form
    208,695.79/312,982.12 = 88,752.51/x
  3. Step 3: Cross multiply
    208,695.79x = 312,982.12 × 88,752.51
  4. Step 4: Simplify right side
    208,695.79x = 27,777,948,735.12
  5. Step 5: Solve for x
    x = 27,777,948,735.12/208,695.79
  6. Step 6: Final answer
    x = 133,102.58

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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.