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Finding the Fourth Proportional to 83,290.50, 114,943.64 and 45,564.75

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Solution

The fourth proportional to 83,290.50, 114,943.64 and 45,564.75 is: 62,880.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,290.50 : 114,943.64 = 45,564.75 : x
  2. Step 2: Convert to fraction form
    83,290.50/114,943.64 = 45,564.75/x
  3. Step 3: Cross multiply
    83,290.50x = 114,943.64 × 45,564.75
  4. Step 4: Simplify right side
    83,290.50x = 5,237,377,992.87
  5. Step 5: Solve for x
    x = 5,237,377,992.87/83,290.50
  6. Step 6: Final answer
    x = 62,880.86

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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.