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Finding the Fourth Proportional to 83,835, 125,788.95 and 31,237.65

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Solution

The fourth proportional to 83,835, 125,788.95 and 31,237.65 is: 46,870.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,835 : 125,788.95 = 31,237.65 : x
  2. Step 2: Convert to fraction form
    83,835/125,788.95 = 31,237.65/x
  3. Step 3: Cross multiply
    83,835x = 125,788.95 × 31,237.65
  4. Step 4: Simplify right side
    83,835x = 3,929,351,193.97
  5. Step 5: Solve for x
    x = 3,929,351,193.97/83,835
  6. Step 6: Final answer
    x = 46,870.06

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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.