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Finding the Fourth Proportional to 83,135, 114,725.78 and 45,409.24

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Solution

The fourth proportional to 83,135, 114,725.78 and 45,409.24 is: 62,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,135 : 114,725.78 = 45,409.24 : x
  2. Step 2: Convert to fraction form
    83,135/114,725.78 = 45,409.24/x
  3. Step 3: Cross multiply
    83,135x = 114,725.78 × 45,409.24
  4. Step 4: Simplify right side
    83,135x = 5,209,610,478.21
  5. Step 5: Solve for x
    x = 5,209,610,478.21/83,135
  6. Step 6: Final answer
    x = 62,664.47

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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.