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Finding the Fourth Proportional to 52,805.86, 72,872.07 and 31,590.11

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Solution

The fourth proportional to 52,805.86, 72,872.07 and 31,590.11 is: 43,594.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,805.86 : 72,872.07 = 31,590.11 : x
  2. Step 2: Convert to fraction form
    52,805.86/72,872.07 = 31,590.11/x
  3. Step 3: Cross multiply
    52,805.86x = 72,872.07 × 31,590.11
  4. Step 4: Simplify right side
    52,805.86x = 2,302,036,707.23
  5. Step 5: Solve for x
    x = 2,302,036,707.23/52,805.86
  6. Step 6: Final answer
    x = 43,594.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.