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Finding the Fourth Proportional to 81,653.79, 122,433 and 31,675.48

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Solution

The fourth proportional to 81,653.79, 122,433 and 31,675.48 is: 47,494.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,653.79 : 122,433 = 31,675.48 : x
  2. Step 2: Convert to fraction form
    81,653.79/122,433 = 31,675.48/x
  3. Step 3: Cross multiply
    81,653.79x = 122,433 × 31,675.48
  4. Step 4: Simplify right side
    81,653.79x = 3,878,124,042.84
  5. Step 5: Solve for x
    x = 3,878,124,042.84/81,653.79
  6. Step 6: Final answer
    x = 47,494.72

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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.