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Finding the Fourth Proportional to 109,916.20, 164,874.30 and 72,980.20

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Solution

The fourth proportional to 109,916.20, 164,874.30 and 72,980.20 is: 109,470.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,916.20 : 164,874.30 = 72,980.20 : x
  2. Step 2: Convert to fraction form
    109,916.20/164,874.30 = 72,980.20/x
  3. Step 3: Cross multiply
    109,916.20x = 164,874.30 × 72,980.20
  4. Step 4: Simplify right side
    109,916.20x = 12,032,559,388.86
  5. Step 5: Solve for x
    x = 12,032,559,388.86/109,916.20
  6. Step 6: Final answer
    x = 109,470.30

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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.