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Finding the Fourth Proportional to 82,521.76, 113,883.20 and 45,728.80

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Solution

The fourth proportional to 82,521.76, 113,883.20 and 45,728.80 is: 63,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,521.76 : 113,883.20 = 45,728.80 : x
  2. Step 2: Convert to fraction form
    82,521.76/113,883.20 = 45,728.80/x
  3. Step 3: Cross multiply
    82,521.76x = 113,883.20 × 45,728.80
  4. Step 4: Simplify right side
    82,521.76x = 5,207,742,076.16
  5. Step 5: Solve for x
    x = 5,207,742,076.16/82,521.76
  6. Step 6: Final answer
    x = 63,107.50

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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.