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Finding the Fourth Proportional to 210,056, 315,084 and 54,408

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Solution

The fourth proportional to 210,056, 315,084 and 54,408 is: 81,612

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,056 : 315,084 = 54,408 : x
  2. Step 2: Convert to fraction form
    210,056/315,084 = 54,408/x
  3. Step 3: Cross multiply
    210,056x = 315,084 × 54,408
  4. Step 4: Simplify right side
    210,056x = 17,143,090,272
  5. Step 5: Solve for x
    x = 17,143,090,272/210,056
  6. Step 6: Final answer
    x = 81,612

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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.