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Finding the Fourth Proportional to 83,157.12, 114,756.48 and 45,432

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Solution

The fourth proportional to 83,157.12, 114,756.48 and 45,432 is: 62,695.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,157.12 : 114,756.48 = 45,432 : x
  2. Step 2: Convert to fraction form
    83,157.12/114,756.48 = 45,432/x
  3. Step 3: Cross multiply
    83,157.12x = 114,756.48 × 45,432
  4. Step 4: Simplify right side
    83,157.12x = 5,213,616,399.36
  5. Step 5: Solve for x
    x = 5,213,616,399.36/83,157.12
  6. Step 6: Final answer
    x = 62,695.97

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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.