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Finding the Fourth Proportional to 208,901.52, 313,453.24 and 129,995.28

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Solution

The fourth proportional to 208,901.52, 313,453.24 and 129,995.28 is: 195,055.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,901.52 : 313,453.24 = 129,995.28 : x
  2. Step 2: Convert to fraction form
    208,901.52/313,453.24 = 129,995.28/x
  3. Step 3: Cross multiply
    208,901.52x = 313,453.24 × 129,995.28
  4. Step 4: Simplify right side
    208,901.52x = 40,747,441,700.71
  5. Step 5: Solve for x
    x = 40,747,441,700.71/208,901.52
  6. Step 6: Final answer
    x = 195,055.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.