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Finding the Fourth Proportional to 105,755.74, 145,913.34 and 68,051.86

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Solution

The fourth proportional to 105,755.74, 145,913.34 and 68,051.86 is: 93,892.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,755.74 : 145,913.34 = 68,051.86 : x
  2. Step 2: Convert to fraction form
    105,755.74/145,913.34 = 68,051.86/x
  3. Step 3: Cross multiply
    105,755.74x = 145,913.34 × 68,051.86
  4. Step 4: Simplify right side
    105,755.74x = 9,929,674,185.81
  5. Step 5: Solve for x
    x = 9,929,674,185.81/105,755.74
  6. Step 6: Final answer
    x = 93,892.53

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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.