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Finding the Fourth Proportional to 109,504.80, 164,257.20 and 42,947.10

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Solution

The fourth proportional to 109,504.80, 164,257.20 and 42,947.10 is: 64,420.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,504.80 : 164,257.20 = 42,947.10 : x
  2. Step 2: Convert to fraction form
    109,504.80/164,257.20 = 42,947.10/x
  3. Step 3: Cross multiply
    109,504.80x = 164,257.20 × 42,947.10
  4. Step 4: Simplify right side
    109,504.80x = 7,054,370,394.12
  5. Step 5: Solve for x
    x = 7,054,370,394.12/109,504.80
  6. Step 6: Final answer
    x = 64,420.65

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1.5x scale

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.