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Finding the Fourth Proportional to 208,353.72, 312,569.46 and 68,120.04

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Solution

The fourth proportional to 208,353.72, 312,569.46 and 68,120.04 is: 102,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,353.72 : 312,569.46 = 68,120.04 : x
  2. Step 2: Convert to fraction form
    208,353.72/312,569.46 = 68,120.04/x
  3. Step 3: Cross multiply
    208,353.72x = 312,569.46 × 68,120.04
  4. Step 4: Simplify right side
    208,353.72x = 21,292,244,117.98
  5. Step 5: Solve for x
    x = 21,292,244,117.98/208,353.72
  6. Step 6: Final answer
    x = 102,192.77

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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.