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Finding the Fourth Proportional to 78,611.55, 117,923.13 and 22,456.41

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Solution

The fourth proportional to 78,611.55, 117,923.13 and 22,456.41 is: 33,686.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,611.55 : 117,923.13 = 22,456.41 : x
  2. Step 2: Convert to fraction form
    78,611.55/117,923.13 = 22,456.41/x
  3. Step 3: Cross multiply
    78,611.55x = 117,923.13 × 22,456.41
  4. Step 4: Simplify right side
    78,611.55x = 2,648,130,155.76
  5. Step 5: Solve for x
    x = 2,648,130,155.76/78,611.55
  6. Step 6: Final answer
    x = 33,686.27

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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.