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Finding the Fourth Proportional to 208,652.29, 313,002.93 and 66,447.78

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Solution

The fourth proportional to 208,652.29, 313,002.93 and 66,447.78 is: 99,679.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,652.29 : 313,002.93 = 66,447.78 : x
  2. Step 2: Convert to fraction form
    208,652.29/313,002.93 = 66,447.78/x
  3. Step 3: Cross multiply
    208,652.29x = 313,002.93 × 66,447.78
  4. Step 4: Simplify right side
    208,652.29x = 20,798,348,907.41
  5. Step 5: Solve for x
    x = 20,798,348,907.41/208,652.29
  6. Step 6: Final answer
    x = 99,679.47

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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.