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Finding the Fourth Proportional to 210,238.31, 315,399 and 77,119.80

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Solution

The fourth proportional to 210,238.31, 315,399 and 77,119.80 is: 115,694.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,238.31 : 315,399 = 77,119.80 : x
  2. Step 2: Convert to fraction form
    210,238.31/315,399 = 77,119.80/x
  3. Step 3: Cross multiply
    210,238.31x = 315,399 × 77,119.80
  4. Step 4: Simplify right side
    210,238.31x = 24,323,507,800.20
  5. Step 5: Solve for x
    x = 24,323,507,800.20/210,238.31
  6. Step 6: Final answer
    x = 115,694.94

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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.