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Finding the Fourth Proportional to 65,892.69, 90,954.12 and 40,051.17

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Solution

The fourth proportional to 65,892.69, 90,954.12 and 40,051.17 is: 55,284.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,892.69 : 90,954.12 = 40,051.17 : x
  2. Step 2: Convert to fraction form
    65,892.69/90,954.12 = 40,051.17/x
  3. Step 3: Cross multiply
    65,892.69x = 90,954.12 × 40,051.17
  4. Step 4: Simplify right side
    65,892.69x = 3,642,818,922.32
  5. Step 5: Solve for x
    x = 3,642,818,922.32/65,892.69
  6. Step 6: Final answer
    x = 55,284.11

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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.