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Finding the Fourth Proportional to 217,200.72, 299,745.10 and 121,703.88

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Solution

The fourth proportional to 217,200.72, 299,745.10 and 121,703.88 is: 167,955.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,200.72 : 299,745.10 = 121,703.88 : x
  2. Step 2: Convert to fraction form
    217,200.72/299,745.10 = 121,703.88/x
  3. Step 3: Cross multiply
    217,200.72x = 299,745.10 × 121,703.88
  4. Step 4: Simplify right side
    217,200.72x = 36,480,140,182.26
  5. Step 5: Solve for x
    x = 36,480,140,182.26/217,200.72
  6. Step 6: Final answer
    x = 167,955.89

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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.