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Finding the Fourth Proportional to 78,623.81, 108,500.87 and 42,813.81

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Solution

The fourth proportional to 78,623.81, 108,500.87 and 42,813.81 is: 59,083.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,623.81 : 108,500.87 = 42,813.81 : x
  2. Step 2: Convert to fraction form
    78,623.81/108,500.87 = 42,813.81/x
  3. Step 3: Cross multiply
    78,623.81x = 108,500.87 × 42,813.81
  4. Step 4: Simplify right side
    78,623.81x = 4,645,335,418.95
  5. Step 5: Solve for x
    x = 4,645,335,418.95/78,623.81
  6. Step 6: Final answer
    x = 59,083.06

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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.