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Finding the Fourth Proportional to 208,509.20, 312,972.16 and 115,058.96

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Solution

The fourth proportional to 208,509.20, 312,972.16 and 115,058.96 is: 172,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,509.20 : 312,972.16 = 115,058.96 : x
  2. Step 2: Convert to fraction form
    208,509.20/312,972.16 = 115,058.96/x
  3. Step 3: Cross multiply
    208,509.20x = 312,972.16 × 115,058.96
  4. Step 4: Simplify right side
    208,509.20x = 36,010,251,238.55
  5. Step 5: Solve for x
    x = 36,010,251,238.55/208,509.20
  6. Step 6: Final answer
    x = 172,703.42

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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.