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Finding the Fourth Proportional to 216,447.57, 298,697.13 and 120,954.26

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Solution

The fourth proportional to 216,447.57, 298,697.13 and 120,954.26 is: 166,916.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,447.57 : 298,697.13 = 120,954.26 : x
  2. Step 2: Convert to fraction form
    216,447.57/298,697.13 = 120,954.26/x
  3. Step 3: Cross multiply
    216,447.57x = 298,697.13 × 120,954.26
  4. Step 4: Simplify right side
    216,447.57x = 36,128,688,829.79
  5. Step 5: Solve for x
    x = 36,128,688,829.79/216,447.57
  6. Step 6: Final answer
    x = 166,916.58

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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.