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Finding the Fourth Proportional to 268,661.40, 402,977.49 and 81,658.32

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Solution

The fourth proportional to 268,661.40, 402,977.49 and 81,658.32 is: 122,483.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,661.40 : 402,977.49 = 81,658.32 : x
  2. Step 2: Convert to fraction form
    268,661.40/402,977.49 = 81,658.32/x
  3. Step 3: Cross multiply
    268,661.40x = 402,977.49 × 81,658.32
  4. Step 4: Simplify right side
    268,661.40x = 32,906,464,831.22
  5. Step 5: Solve for x
    x = 32,906,464,831.22/268,661.40
  6. Step 6: Final answer
    x = 122,483.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.