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Finding the Fourth Proportional to 92,645.40, 138,935.70 and 48,257.40

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Solution

The fourth proportional to 92,645.40, 138,935.70 and 48,257.40 is: 72,369.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,645.40 : 138,935.70 = 48,257.40 : x
  2. Step 2: Convert to fraction form
    92,645.40/138,935.70 = 48,257.40/x
  3. Step 3: Cross multiply
    92,645.40x = 138,935.70 × 48,257.40
  4. Step 4: Simplify right side
    92,645.40x = 6,704,675,649.18
  5. Step 5: Solve for x
    x = 6,704,675,649.18/92,645.40
  6. Step 6: Final answer
    x = 72,369.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.