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Finding the Fourth Proportional to 210,267, 315,388.98 and 85,712.76

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Solution

The fourth proportional to 210,267, 315,388.98 and 85,712.76 is: 128,564.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,267 : 315,388.98 = 85,712.76 : x
  2. Step 2: Convert to fraction form
    210,267/315,388.98 = 85,712.76/x
  3. Step 3: Cross multiply
    210,267x = 315,388.98 × 85,712.76
  4. Step 4: Simplify right side
    210,267x = 27,032,859,949.38
  5. Step 5: Solve for x
    x = 27,032,859,949.38/210,267
  6. Step 6: Final answer
    x = 128,564.44

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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.