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Finding the Fourth Proportional to 66,798, 92,184.16 and 36,990

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Solution

The fourth proportional to 66,798, 92,184.16 and 36,990 is: 51,047.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,798 : 92,184.16 = 36,990 : x
  2. Step 2: Convert to fraction form
    66,798/92,184.16 = 36,990/x
  3. Step 3: Cross multiply
    66,798x = 92,184.16 × 36,990
  4. Step 4: Simplify right side
    66,798x = 3,409,892,078.40
  5. Step 5: Solve for x
    x = 3,409,892,078.40/66,798
  6. Step 6: Final answer
    x = 51,047.82

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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.