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Finding the Fourth Proportional to 208,667.86, 313,024.34 and 66,479.60

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Solution

The fourth proportional to 208,667.86, 313,024.34 and 66,479.60 is: 99,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,667.86 : 313,024.34 = 66,479.60 : x
  2. Step 2: Convert to fraction form
    208,667.86/313,024.34 = 66,479.60/x
  3. Step 3: Cross multiply
    208,667.86x = 313,024.34 × 66,479.60
  4. Step 4: Simplify right side
    208,667.86x = 20,809,732,913.46
  5. Step 5: Solve for x
    x = 20,809,732,913.46/208,667.86
  6. Step 6: Final answer
    x = 99,726.58

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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.