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Finding the Fourth Proportional to 74,751.45, 103,156.47 and 40,760

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Solution

The fourth proportional to 74,751.45, 103,156.47 and 40,760 is: 56,248.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,751.45 : 103,156.47 = 40,760 : x
  2. Step 2: Convert to fraction form
    74,751.45/103,156.47 = 40,760/x
  3. Step 3: Cross multiply
    74,751.45x = 103,156.47 × 40,760
  4. Step 4: Simplify right side
    74,751.45x = 4,204,657,717.20
  5. Step 5: Solve for x
    x = 4,204,657,717.20/74,751.45
  6. Step 6: Final answer
    x = 56,248.51

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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.