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Finding the Fourth Proportional to 210,816.68, 316,004.70 and 92,388.20

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Solution

The fourth proportional to 210,816.68, 316,004.70 and 92,388.20 is: 138,485.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,816.68 : 316,004.70 = 92,388.20 : x
  2. Step 2: Convert to fraction form
    210,816.68/316,004.70 = 92,388.20/x
  3. Step 3: Cross multiply
    210,816.68x = 316,004.70 × 92,388.20
  4. Step 4: Simplify right side
    210,816.68x = 29,195,105,424.54
  5. Step 5: Solve for x
    x = 29,195,105,424.54/210,816.68
  6. Step 6: Final answer
    x = 138,485.75

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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.