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Finding the Fourth Proportional to 120,916.50, 166,878.26 and 73,168.80

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Solution

The fourth proportional to 120,916.50, 166,878.26 and 73,168.80 is: 100,981.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,916.50 : 166,878.26 = 73,168.80 : x
  2. Step 2: Convert to fraction form
    120,916.50/166,878.26 = 73,168.80/x
  3. Step 3: Cross multiply
    120,916.50x = 166,878.26 × 73,168.80
  4. Step 4: Simplify right side
    120,916.50x = 12,210,282,030.29
  5. Step 5: Solve for x
    x = 12,210,282,030.29/120,916.50
  6. Step 6: Final answer
    x = 100,981.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.