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Finding the Fourth Proportional to 83,157.84, 114,756.48 and 45,431.28

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Solution

The fourth proportional to 83,157.84, 114,756.48 and 45,431.28 is: 62,694.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.84 : 114,756.48 = 45,431.28 : x
  2. Step 2: Convert to fraction form
    83,157.84/114,756.48 = 45,431.28/x
  3. Step 3: Cross multiply
    83,157.84x = 114,756.48 × 45,431.28
  4. Step 4: Simplify right side
    83,157.84x = 5,213,533,774.69
  5. Step 5: Solve for x
    x = 5,213,533,774.69/83,157.84
  6. Step 6: Final answer
    x = 62,694.43

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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.