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Finding the Fourth Proportional to 78,286.83, 108,041.16 and 44,295.31

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Solution

The fourth proportional to 78,286.83, 108,041.16 and 44,295.31 is: 61,130.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,286.83 : 108,041.16 = 44,295.31 : x
  2. Step 2: Convert to fraction form
    78,286.83/108,041.16 = 44,295.31/x
  3. Step 3: Cross multiply
    78,286.83x = 108,041.16 × 44,295.31
  4. Step 4: Simplify right side
    78,286.83x = 4,785,716,674.96
  5. Step 5: Solve for x
    x = 4,785,716,674.96/78,286.83
  6. Step 6: Final answer
    x = 61,130.55

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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.