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Finding the Fourth Proportional to 105,718.68, 145,893.78 and 57,969.18

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Solution

The fourth proportional to 105,718.68, 145,893.78 and 57,969.18 is: 79,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,718.68 : 145,893.78 = 57,969.18 : x
  2. Step 2: Convert to fraction form
    105,718.68/145,893.78 = 57,969.18/x
  3. Step 3: Cross multiply
    105,718.68x = 145,893.78 × 57,969.18
  4. Step 4: Simplify right side
    105,718.68x = 8,457,342,793.70
  5. Step 5: Solve for x
    x = 8,457,342,793.70/105,718.68
  6. Step 6: Final answer
    x = 79,998.57

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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.