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Finding the Fourth Proportional to 217,548.57, 300,212.34 and 120,746.76

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Solution

The fourth proportional to 217,548.57, 300,212.34 and 120,746.76 is: 166,627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,548.57 : 300,212.34 = 120,746.76 : x
  2. Step 2: Convert to fraction form
    217,548.57/300,212.34 = 120,746.76/x
  3. Step 3: Cross multiply
    217,548.57x = 300,212.34 × 120,746.76
  4. Step 4: Simplify right side
    217,548.57x = 36,249,667,668.89
  5. Step 5: Solve for x
    x = 36,249,667,668.89/217,548.57
  6. Step 6: Final answer
    x = 166,627.93

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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.