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Finding the Fourth Proportional to 66,998, 92,458.32 and 37,190

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Solution

The fourth proportional to 66,998, 92,458.32 and 37,190 is: 51,322.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,998 : 92,458.32 = 37,190 : x
  2. Step 2: Convert to fraction form
    66,998/92,458.32 = 37,190/x
  3. Step 3: Cross multiply
    66,998x = 92,458.32 × 37,190
  4. Step 4: Simplify right side
    66,998x = 3,438,524,920.80
  5. Step 5: Solve for x
    x = 3,438,524,920.80/66,998
  6. Step 6: Final answer
    x = 51,322.80

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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.