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Finding the Fourth Proportional to 67,434.32, 92,986.44 and 45,938

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Solution

The fourth proportional to 67,434.32, 92,986.44 and 45,938 is: 63,344.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,434.32 : 92,986.44 = 45,938 : x
  2. Step 2: Convert to fraction form
    67,434.32/92,986.44 = 45,938/x
  3. Step 3: Cross multiply
    67,434.32x = 92,986.44 × 45,938
  4. Step 4: Simplify right side
    67,434.32x = 4,271,611,080.72
  5. Step 5: Solve for x
    x = 4,271,611,080.72/67,434.32
  6. Step 6: Final answer
    x = 63,344.76

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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.