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Finding the Fourth Proportional to 208,393.35, 312,581.31 and 88,417.38

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Solution

The fourth proportional to 208,393.35, 312,581.31 and 88,417.38 is: 132,622.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,393.35 : 312,581.31 = 88,417.38 : x
  2. Step 2: Convert to fraction form
    208,393.35/312,581.31 = 88,417.38/x
  3. Step 3: Cross multiply
    208,393.35x = 312,581.31 × 88,417.38
  4. Step 4: Simplify right side
    208,393.35x = 27,637,620,467.17
  5. Step 5: Solve for x
    x = 27,637,620,467.17/208,393.35
  6. Step 6: Final answer
    x = 132,622.37

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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.