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Finding the Fourth Proportional to 74,785.94, 103,206.54 and 40,795

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Solution

The fourth proportional to 74,785.94, 103,206.54 and 40,795 is: 56,298.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,785.94 : 103,206.54 = 40,795 : x
  2. Step 2: Convert to fraction form
    74,785.94/103,206.54 = 40,795/x
  3. Step 3: Cross multiply
    74,785.94x = 103,206.54 × 40,795
  4. Step 4: Simplify right side
    74,785.94x = 4,210,310,799.30
  5. Step 5: Solve for x
    x = 4,210,310,799.30/74,785.94
  6. Step 6: Final answer
    x = 56,298.16

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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.