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Finding the Fourth Proportional to 67,302, 92,790.50 and 55,157.78

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Solution

The fourth proportional to 67,302, 92,790.50 and 55,157.78 is: 76,047.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,302 : 92,790.50 = 55,157.78 : x
  2. Step 2: Convert to fraction form
    67,302/92,790.50 = 55,157.78/x
  3. Step 3: Cross multiply
    67,302x = 92,790.50 × 55,157.78
  4. Step 4: Simplify right side
    67,302x = 5,118,117,985.09
  5. Step 5: Solve for x
    x = 5,118,117,985.09/67,302
  6. Step 6: Final answer
    x = 76,047.04

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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.