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Finding the Fourth Proportional to 210,259, 315,519.72 and 85,600

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Solution

The fourth proportional to 210,259, 315,519.72 and 85,600 is: 128,453.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,259 : 315,519.72 = 85,600 : x
  2. Step 2: Convert to fraction form
    210,259/315,519.72 = 85,600/x
  3. Step 3: Cross multiply
    210,259x = 315,519.72 × 85,600
  4. Step 4: Simplify right side
    210,259x = 27,008,488,032.00
  5. Step 5: Solve for x
    x = 27,008,488,032.00/210,259
  6. Step 6: Final answer
    x = 128,453.42

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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.