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Finding the Fourth Proportional to 210,393.25, 315,621.06 and 77,263.17

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Solution

The fourth proportional to 210,393.25, 315,621.06 and 77,263.17 is: 115,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,393.25 : 315,621.06 = 77,263.17 : x
  2. Step 2: Convert to fraction form
    210,393.25/315,621.06 = 77,263.17/x
  3. Step 3: Cross multiply
    210,393.25x = 315,621.06 × 77,263.17
  4. Step 4: Simplify right side
    210,393.25x = 24,385,882,141.04
  5. Step 5: Solve for x
    x = 24,385,882,141.04/210,393.25
  6. Step 6: Final answer
    x = 115,906.20

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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.