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Finding the Fourth Proportional to 83,915.40, 125,894.79 and 31,325.34

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Solution

The fourth proportional to 83,915.40, 125,894.79 and 31,325.34 is: 46,996.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,915.40 : 125,894.79 = 31,325.34 : x
  2. Step 2: Convert to fraction form
    83,915.40/125,894.79 = 31,325.34/x
  3. Step 3: Cross multiply
    83,915.40x = 125,894.79 × 31,325.34
  4. Step 4: Simplify right side
    83,915.40x = 3,943,697,100.98
  5. Step 5: Solve for x
    x = 3,943,697,100.98/83,915.40
  6. Step 6: Final answer
    x = 46,996.11

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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.