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Finding the Fourth Proportional to 61,864, 92,719.92 and 28,537.76

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Solution

The fourth proportional to 61,864, 92,719.92 and 28,537.76 is: 42,771.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,864 : 92,719.92 = 28,537.76 : x
  2. Step 2: Convert to fraction form
    61,864/92,719.92 = 28,537.76/x
  3. Step 3: Cross multiply
    61,864x = 92,719.92 × 28,537.76
  4. Step 4: Simplify right side
    61,864x = 2,646,018,824.18
  5. Step 5: Solve for x
    x = 2,646,018,824.18/61,864
  6. Step 6: Final answer
    x = 42,771.54

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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.