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Finding the Fourth Proportional to 217,647.54, 300,354.88 and 120,852.76

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Solution

The fourth proportional to 217,647.54, 300,354.88 and 120,852.76 is: 166,777.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,647.54 : 300,354.88 = 120,852.76 : x
  2. Step 2: Convert to fraction form
    217,647.54/300,354.88 = 120,852.76/x
  3. Step 3: Cross multiply
    217,647.54x = 300,354.88 × 120,852.76
  4. Step 4: Simplify right side
    217,647.54x = 36,298,716,227.47
  5. Step 5: Solve for x
    x = 36,298,716,227.47/217,647.54
  6. Step 6: Final answer
    x = 166,777.52

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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.