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Finding the Fourth Proportional to 83,485.80, 115,210.14 and 45,246.46

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Solution

The fourth proportional to 83,485.80, 115,210.14 and 45,246.46 is: 62,439.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,485.80 : 115,210.14 = 45,246.46 : x
  2. Step 2: Convert to fraction form
    83,485.80/115,210.14 = 45,246.46/x
  3. Step 3: Cross multiply
    83,485.80x = 115,210.14 × 45,246.46
  4. Step 4: Simplify right side
    83,485.80x = 5,212,850,991.10
  5. Step 5: Solve for x
    x = 5,212,850,991.10/83,485.80
  6. Step 6: Final answer
    x = 62,439.97

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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.