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Finding the Fourth Proportional to 65,343.66, 90,188.97 and 39,858.66

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Solution

The fourth proportional to 65,343.66, 90,188.97 and 39,858.66 is: 55,013.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,343.66 : 90,188.97 = 39,858.66 : x
  2. Step 2: Convert to fraction form
    65,343.66/90,188.97 = 39,858.66/x
  3. Step 3: Cross multiply
    65,343.66x = 90,188.97 × 39,858.66
  4. Step 4: Simplify right side
    65,343.66x = 3,594,811,490.98
  5. Step 5: Solve for x
    x = 3,594,811,490.98/65,343.66
  6. Step 6: Final answer
    x = 55,013.93

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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.