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Finding the Fourth Proportional to 208,242, 312,371.64 and 60,498

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Solution

The fourth proportional to 208,242, 312,371.64 and 60,498 is: 90,749.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,242 : 312,371.64 = 60,498 : x
  2. Step 2: Convert to fraction form
    208,242/312,371.64 = 60,498/x
  3. Step 3: Cross multiply
    208,242x = 312,371.64 × 60,498
  4. Step 4: Simplify right side
    208,242x = 18,897,859,476.72
  5. Step 5: Solve for x
    x = 18,897,859,476.72/208,242
  6. Step 6: Final answer
    x = 90,749.51

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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.