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Finding the Fourth Proportional to 56,862, 85,293 and 15,309

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Solution

The fourth proportional to 56,862, 85,293 and 15,309 is: 22,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,862 : 85,293 = 15,309 : x
  2. Step 2: Convert to fraction form
    56,862/85,293 = 15,309/x
  3. Step 3: Cross multiply
    56,862x = 85,293 × 15,309
  4. Step 4: Simplify right side
    56,862x = 1,305,750,537
  5. Step 5: Solve for x
    x = 1,305,750,537/56,862
  6. Step 6: Final answer
    x = 22,963.50

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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.