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Finding the Fourth Proportional to 144,874.80, 217,364.40 and 64,906.20

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Solution

The fourth proportional to 144,874.80, 217,364.40 and 64,906.20 is: 97,382.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,874.80 : 217,364.40 = 64,906.20 : x
  2. Step 2: Convert to fraction form
    144,874.80/217,364.40 = 64,906.20/x
  3. Step 3: Cross multiply
    144,874.80x = 217,364.40 × 64,906.20
  4. Step 4: Simplify right side
    144,874.80x = 14,108,297,219.28
  5. Step 5: Solve for x
    x = 14,108,297,219.28/144,874.80
  6. Step 6: Final answer
    x = 97,382.69

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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.