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Finding the Fourth Proportional to 74,275, 102,501.06 and 40,741

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Solution

The fourth proportional to 74,275, 102,501.06 and 40,741 is: 56,223.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,275 : 102,501.06 = 40,741 : x
  2. Step 2: Convert to fraction form
    74,275/102,501.06 = 40,741/x
  3. Step 3: Cross multiply
    74,275x = 102,501.06 × 40,741
  4. Step 4: Simplify right side
    74,275x = 4,175,995,685.46
  5. Step 5: Solve for x
    x = 4,175,995,685.46/74,275
  6. Step 6: Final answer
    x = 56,223.44

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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.