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Finding the Fourth Proportional to 106,304.60, 159,456.90 and 61,981.40

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Solution

The fourth proportional to 106,304.60, 159,456.90 and 61,981.40 is: 92,972.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,304.60 : 159,456.90 = 61,981.40 : x
  2. Step 2: Convert to fraction form
    106,304.60/159,456.90 = 61,981.40/x
  3. Step 3: Cross multiply
    106,304.60x = 159,456.90 × 61,981.40
  4. Step 4: Simplify right side
    106,304.60x = 9,883,361,901.66
  5. Step 5: Solve for x
    x = 9,883,361,901.66/106,304.60
  6. Step 6: Final answer
    x = 92,972.10

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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.