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Finding the Fourth Proportional to 216,887.32, 299,306 and 126,296.08

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Solution

The fourth proportional to 216,887.32, 299,306 and 126,296.08 is: 174,289.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,887.32 : 299,306 = 126,296.08 : x
  2. Step 2: Convert to fraction form
    216,887.32/299,306 = 126,296.08/x
  3. Step 3: Cross multiply
    216,887.32x = 299,306 × 126,296.08
  4. Step 4: Simplify right side
    216,887.32x = 37,801,174,520.48
  5. Step 5: Solve for x
    x = 37,801,174,520.48/216,887.32
  6. Step 6: Final answer
    x = 174,289.46

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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.