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Finding the Fourth Proportional to 78,576.50, 117,868.41 and 22,420.46

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Solution

The fourth proportional to 78,576.50, 117,868.41 and 22,420.46 is: 33,631.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,576.50 : 117,868.41 = 22,420.46 : x
  2. Step 2: Convert to fraction form
    78,576.50/117,868.41 = 22,420.46/x
  3. Step 3: Cross multiply
    78,576.50x = 117,868.41 × 22,420.46
  4. Step 4: Simplify right side
    78,576.50x = 2,642,663,971.67
  5. Step 5: Solve for x
    x = 2,642,663,971.67/78,576.50
  6. Step 6: Final answer
    x = 33,631.73

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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.