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Finding the Fourth Proportional to 74,497, 102,805.86 and 40,965.16

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Solution

The fourth proportional to 74,497, 102,805.86 and 40,965.16 is: 56,531.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,497 : 102,805.86 = 40,965.16 : x
  2. Step 2: Convert to fraction form
    74,497/102,805.86 = 40,965.16/x
  3. Step 3: Cross multiply
    74,497x = 102,805.86 × 40,965.16
  4. Step 4: Simplify right side
    74,497x = 4,211,458,503.84
  5. Step 5: Solve for x
    x = 4,211,458,503.84/74,497
  6. Step 6: Final answer
    x = 56,531.92

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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.