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Finding the Fourth Proportional to 209,951.70, 315,058.16 and 85,292.70

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Solution

The fourth proportional to 209,951.70, 315,058.16 and 85,292.70 is: 127,992.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,951.70 : 315,058.16 = 85,292.70 : x
  2. Step 2: Convert to fraction form
    209,951.70/315,058.16 = 85,292.70/x
  3. Step 3: Cross multiply
    209,951.70x = 315,058.16 × 85,292.70
  4. Step 4: Simplify right side
    209,951.70x = 26,872,159,675.42
  5. Step 5: Solve for x
    x = 26,872,159,675.42/209,951.70
  6. Step 6: Final answer
    x = 127,992.11

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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.