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Finding the Fourth Proportional to 61,276, 84,568.16 and 34,418.56

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Solution

The fourth proportional to 61,276, 84,568.16 and 34,418.56 is: 47,501.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,276 : 84,568.16 = 34,418.56 : x
  2. Step 2: Convert to fraction form
    61,276/84,568.16 = 34,418.56/x
  3. Step 3: Cross multiply
    61,276x = 84,568.16 × 34,418.56
  4. Step 4: Simplify right side
    61,276x = 2,910,714,289.05
  5. Step 5: Solve for x
    x = 2,910,714,289.05/61,276
  6. Step 6: Final answer
    x = 47,501.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.