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Finding the Fourth Proportional to 216,148.64, 298,284.83 and 120,655.34

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Solution

The fourth proportional to 216,148.64, 298,284.83 and 120,655.34 is: 166,504.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,148.64 : 298,284.83 = 120,655.34 : x
  2. Step 2: Convert to fraction form
    216,148.64/298,284.83 = 120,655.34/x
  3. Step 3: Cross multiply
    216,148.64x = 298,284.83 × 120,655.34
  4. Step 4: Simplify right side
    216,148.64x = 35,989,655,485.79
  5. Step 5: Solve for x
    x = 35,989,655,485.79/216,148.64
  6. Step 6: Final answer
    x = 166,504.19

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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.