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Finding the Fourth Proportional to 210,366.50, 315,728.10 and 84,095.91

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Solution

The fourth proportional to 210,366.50, 315,728.10 and 84,095.91 is: 126,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,366.50 : 315,728.10 = 84,095.91 : x
  2. Step 2: Convert to fraction form
    210,366.50/315,728.10 = 84,095.91/x
  3. Step 3: Cross multiply
    210,366.50x = 315,728.10 × 84,095.91
  4. Step 4: Simplify right side
    210,366.50x = 26,551,441,882.07
  5. Step 5: Solve for x
    x = 26,551,441,882.07/210,366.50
  6. Step 6: Final answer
    x = 126,215.17

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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.