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Finding the Fourth Proportional to 220,614.16, 330,811.93 and 78,438.13

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Solution

The fourth proportional to 220,614.16, 330,811.93 and 78,438.13 is: 117,618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,614.16 : 330,811.93 = 78,438.13 : x
  2. Step 2: Convert to fraction form
    220,614.16/330,811.93 = 78,438.13/x
  3. Step 3: Cross multiply
    220,614.16x = 330,811.93 × 78,438.13
  4. Step 4: Simplify right side
    220,614.16x = 25,948,267,124.64
  5. Step 5: Solve for x
    x = 25,948,267,124.64/220,614.16
  6. Step 6: Final answer
    x = 117,618.32

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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.