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Finding the Fourth Proportional to 83,643.60, 115,405.65 and 47,826.21

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Solution

The fourth proportional to 83,643.60, 115,405.65 and 47,826.21 is: 65,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,643.60 : 115,405.65 = 47,826.21 : x
  2. Step 2: Convert to fraction form
    83,643.60/115,405.65 = 47,826.21/x
  3. Step 3: Cross multiply
    83,643.60x = 115,405.65 × 47,826.21
  4. Step 4: Simplify right side
    83,643.60x = 5,519,414,852.09
  5. Step 5: Solve for x
    x = 5,519,414,852.09/83,643.60
  6. Step 6: Final answer
    x = 65,987.29

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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.