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Finding the Fourth Proportional to 73,926.50, 102,018.57 and 40,392.50

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Solution

The fourth proportional to 73,926.50, 102,018.57 and 40,392.50 is: 55,741.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,926.50 : 102,018.57 = 40,392.50 : x
  2. Step 2: Convert to fraction form
    73,926.50/102,018.57 = 40,392.50/x
  3. Step 3: Cross multiply
    73,926.50x = 102,018.57 × 40,392.50
  4. Step 4: Simplify right side
    73,926.50x = 4,120,785,088.73
  5. Step 5: Solve for x
    x = 4,120,785,088.73/73,926.50
  6. Step 6: Final answer
    x = 55,741.65

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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.