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Finding the Fourth Proportional to 211,061.90, 315,901.65 and 164,060.30

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Solution

The fourth proportional to 211,061.90, 315,901.65 and 164,060.30 is: 245,553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,061.90 : 315,901.65 = 164,060.30 : x
  2. Step 2: Convert to fraction form
    211,061.90/315,901.65 = 164,060.30/x
  3. Step 3: Cross multiply
    211,061.90x = 315,901.65 × 164,060.30
  4. Step 4: Simplify right side
    211,061.90x = 51,826,919,469.50
  5. Step 5: Solve for x
    x = 51,826,919,469.50/211,061.90
  6. Step 6: Final answer
    x = 245,553.17

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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.