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Finding the Fourth Proportional to 83,813.76, 115,722.24 and 55,578.24

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Solution

The fourth proportional to 83,813.76, 115,722.24 and 55,578.24 is: 76,737.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,813.76 : 115,722.24 = 55,578.24 : x
  2. Step 2: Convert to fraction form
    83,813.76/115,722.24 = 55,578.24/x
  3. Step 3: Cross multiply
    83,813.76x = 115,722.24 × 55,578.24
  4. Step 4: Simplify right side
    83,813.76x = 6,431,638,428.06
  5. Step 5: Solve for x
    x = 6,431,638,428.06/83,813.76
  6. Step 6: Final answer
    x = 76,737.26

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1.5x scale

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.