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Finding the Fourth Proportional to 208,118.36, 287,097.48 and 126,424.91

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Solution

The fourth proportional to 208,118.36, 287,097.48 and 126,424.91 is: 174,402.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,118.36 : 287,097.48 = 126,424.91 : x
  2. Step 2: Convert to fraction form
    208,118.36/287,097.48 = 126,424.91/x
  3. Step 3: Cross multiply
    208,118.36x = 287,097.48 × 126,424.91
  4. Step 4: Simplify right side
    208,118.36x = 36,296,271,634.74
  5. Step 5: Solve for x
    x = 36,296,271,634.74/208,118.36
  6. Step 6: Final answer
    x = 174,402.07

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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.