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Finding the Fourth Proportional to 66,842, 92,241.96 and 39,985.64

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Solution

The fourth proportional to 66,842, 92,241.96 and 39,985.64 is: 55,180.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,842 : 92,241.96 = 39,985.64 : x
  2. Step 2: Convert to fraction form
    66,842/92,241.96 = 39,985.64/x
  3. Step 3: Cross multiply
    66,842x = 92,241.96 × 39,985.64
  4. Step 4: Simplify right side
    66,842x = 3,688,353,805.45
  5. Step 5: Solve for x
    x = 3,688,353,805.45/66,842
  6. Step 6: Final answer
    x = 55,180.18

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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.