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Finding the Fourth Proportional to 78,844.95, 108,830.16 and 48,639.69

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Solution

The fourth proportional to 78,844.95, 108,830.16 and 48,639.69 is: 67,137.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,844.95 : 108,830.16 = 48,639.69 : x
  2. Step 2: Convert to fraction form
    78,844.95/108,830.16 = 48,639.69/x
  3. Step 3: Cross multiply
    78,844.95x = 108,830.16 × 48,639.69
  4. Step 4: Simplify right side
    78,844.95x = 5,293,465,245.05
  5. Step 5: Solve for x
    x = 5,293,465,245.05/78,844.95
  6. Step 6: Final answer
    x = 67,137.66

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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.