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Finding the Fourth Proportional to 83,159.40, 114,759.90 and 45,433.64

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Solution

The fourth proportional to 83,159.40, 114,759.90 and 45,433.64 is: 62,698.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,159.40 : 114,759.90 = 45,433.64 : x
  2. Step 2: Convert to fraction form
    83,159.40/114,759.90 = 45,433.64/x
  3. Step 3: Cross multiply
    83,159.40x = 114,759.90 × 45,433.64
  4. Step 4: Simplify right side
    83,159.40x = 5,213,959,983.04
  5. Step 5: Solve for x
    x = 5,213,959,983.04/83,159.40
  6. Step 6: Final answer
    x = 62,698.38

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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.