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Finding the Fourth Proportional to 214,673.72, 296,243.97 and 128,681.28

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Solution

The fourth proportional to 214,673.72, 296,243.97 and 128,681.28 is: 177,576.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,673.72 : 296,243.97 = 128,681.28 : x
  2. Step 2: Convert to fraction form
    214,673.72/296,243.97 = 128,681.28/x
  3. Step 3: Cross multiply
    214,673.72x = 296,243.97 × 128,681.28
  4. Step 4: Simplify right side
    214,673.72x = 38,121,053,251.88
  5. Step 5: Solve for x
    x = 38,121,053,251.88/214,673.72
  6. Step 6: Final answer
    x = 177,576.72

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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.