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Finding the Fourth Proportional to 216,275.78, 298,417.29 and 120,767.78

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Solution

The fourth proportional to 216,275.78, 298,417.29 and 120,767.78 is: 166,635.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,275.78 : 298,417.29 = 120,767.78 : x
  2. Step 2: Convert to fraction form
    216,275.78/298,417.29 = 120,767.78/x
  3. Step 3: Cross multiply
    216,275.78x = 298,417.29 × 120,767.78
  4. Step 4: Simplify right side
    216,275.78x = 36,039,193,626.92
  5. Step 5: Solve for x
    x = 36,039,193,626.92/216,275.78
  6. Step 6: Final answer
    x = 166,635.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.