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Finding the Fourth Proportional to 82,878.17, 114,372 and 47,068.16

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Solution

The fourth proportional to 82,878.17, 114,372 and 47,068.16 is: 64,954.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,878.17 : 114,372 = 47,068.16 : x
  2. Step 2: Convert to fraction form
    82,878.17/114,372 = 47,068.16/x
  3. Step 3: Cross multiply
    82,878.17x = 114,372 × 47,068.16
  4. Step 4: Simplify right side
    82,878.17x = 5,383,279,023.66
  5. Step 5: Solve for x
    x = 5,383,279,023.66/82,878.17
  6. Step 6: Final answer
    x = 64,954.13

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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.