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Finding the Fourth Proportional to 81,689.10, 112,734.36 and 45,878.46

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Solution

The fourth proportional to 81,689.10, 112,734.36 and 45,878.46 is: 63,314.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,689.10 : 112,734.36 = 45,878.46 : x
  2. Step 2: Convert to fraction form
    81,689.10/112,734.36 = 45,878.46/x
  3. Step 3: Cross multiply
    81,689.10x = 112,734.36 × 45,878.46
  4. Step 4: Simplify right side
    81,689.10x = 5,172,078,825.89
  5. Step 5: Solve for x
    x = 5,172,078,825.89/81,689.10
  6. Step 6: Final answer
    x = 63,314.19

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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.