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Finding the Fourth Proportional to 82,900.64, 114,420.56 and 54,608.80

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Solution

The fourth proportional to 82,900.64, 114,420.56 and 54,608.80 is: 75,371.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,900.64 : 114,420.56 = 54,608.80 : x
  2. Step 2: Convert to fraction form
    82,900.64/114,420.56 = 54,608.80/x
  3. Step 3: Cross multiply
    82,900.64x = 114,420.56 × 54,608.80
  4. Step 4: Simplify right side
    82,900.64x = 6,248,369,476.93
  5. Step 5: Solve for x
    x = 6,248,369,476.93/82,900.64
  6. Step 6: Final answer
    x = 75,371.79

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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.