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Finding the Fourth Proportional to 66,978.36, 92,456.10 and 50,259.96

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Solution

The fourth proportional to 66,978.36, 92,456.10 and 50,259.96 is: 69,378.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978.36 : 92,456.10 = 50,259.96 : x
  2. Step 2: Convert to fraction form
    66,978.36/92,456.10 = 50,259.96/x
  3. Step 3: Cross multiply
    66,978.36x = 92,456.10 × 50,259.96
  4. Step 4: Simplify right side
    66,978.36x = 4,646,839,887.76
  5. Step 5: Solve for x
    x = 4,646,839,887.76/66,978.36
  6. Step 6: Final answer
    x = 69,378.23

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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.