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Finding the Fourth Proportional to 216,246.60, 298,420.74 and 120,753

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Solution

The fourth proportional to 216,246.60, 298,420.74 and 120,753 is: 166,639.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,246.60 : 298,420.74 = 120,753 : x
  2. Step 2: Convert to fraction form
    216,246.60/298,420.74 = 120,753/x
  3. Step 3: Cross multiply
    216,246.60x = 298,420.74 × 120,753
  4. Step 4: Simplify right side
    216,246.60x = 36,035,199,617.22
  5. Step 5: Solve for x
    x = 36,035,199,617.22/216,246.60
  6. Step 6: Final answer
    x = 166,639.38

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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.