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Finding the Fourth Proportional to 84,072.78, 116,016.84 and 45,831.42

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Solution

The fourth proportional to 84,072.78, 116,016.84 and 45,831.42 is: 63,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,072.78 : 116,016.84 = 45,831.42 : x
  2. Step 2: Convert to fraction form
    84,072.78/116,016.84 = 45,831.42/x
  3. Step 3: Cross multiply
    84,072.78x = 116,016.84 × 45,831.42
  4. Step 4: Simplify right side
    84,072.78x = 5,317,216,521.11
  5. Step 5: Solve for x
    x = 5,317,216,521.11/84,072.78
  6. Step 6: Final answer
    x = 63,245.40

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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.