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Finding the Fourth Proportional to 74,857.94, 103,305.52 and 40,867.86

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Solution

The fourth proportional to 74,857.94, 103,305.52 and 40,867.86 is: 56,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,857.94 : 103,305.52 = 40,867.86 : x
  2. Step 2: Convert to fraction form
    74,857.94/103,305.52 = 40,867.86/x
  3. Step 3: Cross multiply
    74,857.94x = 103,305.52 × 40,867.86
  4. Step 4: Simplify right side
    74,857.94x = 4,221,875,118.98
  5. Step 5: Solve for x
    x = 4,221,875,118.98/74,857.94
  6. Step 6: Final answer
    x = 56,398.50

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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.