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Finding the Fourth Proportional to 81,653.35, 122,432.35 and 31,675.04

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Solution

The fourth proportional to 81,653.35, 122,432.35 and 31,675.04 is: 47,494.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653.35 : 122,432.35 = 31,675.04 : x
  2. Step 2: Convert to fraction form
    81,653.35/122,432.35 = 31,675.04/x
  3. Step 3: Cross multiply
    81,653.35x = 122,432.35 × 31,675.04
  4. Step 4: Simplify right side
    81,653.35x = 3,878,049,869.83
  5. Step 5: Solve for x
    x = 3,878,049,869.83/81,653.35
  6. Step 6: Final answer
    x = 47,494.07

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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.