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Finding the Fourth Proportional to 106,436.40, 159,712.20 and 47,281.20

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Solution

The fourth proportional to 106,436.40, 159,712.20 and 47,281.20 is: 70,947.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,436.40 : 159,712.20 = 47,281.20 : x
  2. Step 2: Convert to fraction form
    106,436.40/159,712.20 = 47,281.20/x
  3. Step 3: Cross multiply
    106,436.40x = 159,712.20 × 47,281.20
  4. Step 4: Simplify right side
    106,436.40x = 7,551,384,470.64
  5. Step 5: Solve for x
    x = 7,551,384,470.64/106,436.40
  6. Step 6: Final answer
    x = 70,947.39

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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.