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Finding the Fourth Proportional to 73,824.71, 101,878.10 and 40,290.71

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Solution

The fourth proportional to 73,824.71, 101,878.10 and 40,290.71 is: 55,601.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,824.71 : 101,878.10 = 40,290.71 : x
  2. Step 2: Convert to fraction form
    73,824.71/101,878.10 = 40,290.71/x
  3. Step 3: Cross multiply
    73,824.71x = 101,878.10 × 40,290.71
  4. Step 4: Simplify right side
    73,824.71x = 4,104,740,271.61
  5. Step 5: Solve for x
    x = 4,104,740,271.61/73,824.71
  6. Step 6: Final answer
    x = 55,601.17

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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.