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Finding the Fourth Proportional to 213,862.94, 320,794.60 and 64,118.96

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Solution

The fourth proportional to 213,862.94, 320,794.60 and 64,118.96 is: 96,178.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,862.94 : 320,794.60 = 64,118.96 : x
  2. Step 2: Convert to fraction form
    213,862.94/320,794.60 = 64,118.96/x
  3. Step 3: Cross multiply
    213,862.94x = 320,794.60 × 64,118.96
  4. Step 4: Simplify right side
    213,862.94x = 20,569,016,125.62
  5. Step 5: Solve for x
    x = 20,569,016,125.62/213,862.94
  6. Step 6: Final answer
    x = 96,178.50

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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.