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Finding the Fourth Proportional to 216,410.58, 298,653.21 and 120,921.30

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Solution

The fourth proportional to 216,410.58, 298,653.21 and 120,921.30 is: 166,875.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,410.58 : 298,653.21 = 120,921.30 : x
  2. Step 2: Convert to fraction form
    216,410.58/298,653.21 = 120,921.30/x
  3. Step 3: Cross multiply
    216,410.58x = 298,653.21 × 120,921.30
  4. Step 4: Simplify right side
    216,410.58x = 36,113,534,402.37
  5. Step 5: Solve for x
    x = 36,113,534,402.37/216,410.58
  6. Step 6: Final answer
    x = 166,875.09

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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.