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Finding the Fourth Proportional to 218,964.21, 302,174.54 and 128,345.86

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Solution

The fourth proportional to 218,964.21, 302,174.54 and 128,345.86 is: 177,119.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,964.21 : 302,174.54 = 128,345.86 : x
  2. Step 2: Convert to fraction form
    218,964.21/302,174.54 = 128,345.86/x
  3. Step 3: Cross multiply
    218,964.21x = 302,174.54 × 128,345.86
  4. Step 4: Simplify right side
    218,964.21x = 38,782,851,423.69
  5. Step 5: Solve for x
    x = 38,782,851,423.69/218,964.21
  6. Step 6: Final answer
    x = 177,119.59

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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.