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Finding the Fourth Proportional to 82,486.87, 113,883.47 and 56,689.85

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Solution

The fourth proportional to 82,486.87, 113,883.47 and 56,689.85 is: 78,267.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,486.87 : 113,883.47 = 56,689.85 : x
  2. Step 2: Convert to fraction form
    82,486.87/113,883.47 = 56,689.85/x
  3. Step 3: Cross multiply
    82,486.87x = 113,883.47 × 56,689.85
  4. Step 4: Simplify right side
    82,486.87x = 6,456,037,045.63
  5. Step 5: Solve for x
    x = 6,456,037,045.63/82,486.87
  6. Step 6: Final answer
    x = 78,267.45

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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.