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Finding the Fourth Proportional to 208,159.28, 312,239.72 and 50,387.48

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Solution

The fourth proportional to 208,159.28, 312,239.72 and 50,387.48 is: 75,581.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,159.28 : 312,239.72 = 50,387.48 : x
  2. Step 2: Convert to fraction form
    208,159.28/312,239.72 = 50,387.48/x
  3. Step 3: Cross multiply
    208,159.28x = 312,239.72 × 50,387.48
  4. Step 4: Simplify right side
    208,159.28x = 15,732,972,646.71
  5. Step 5: Solve for x
    x = 15,732,972,646.71/208,159.28
  6. Step 6: Final answer
    x = 75,581.41

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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.