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Finding the Fourth Proportional to 83,710.64, 115,520.16 and 50,176.64

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Solution

The fourth proportional to 83,710.64, 115,520.16 and 50,176.64 is: 69,243.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,710.64 : 115,520.16 = 50,176.64 : x
  2. Step 2: Convert to fraction form
    83,710.64/115,520.16 = 50,176.64/x
  3. Step 3: Cross multiply
    83,710.64x = 115,520.16 × 50,176.64
  4. Step 4: Simplify right side
    83,710.64x = 5,796,413,481.06
  5. Step 5: Solve for x
    x = 5,796,413,481.06/83,710.64
  6. Step 6: Final answer
    x = 69,243.45

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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.