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Finding the Fourth Proportional to 105,689.81, 145,834.02 and 69,860.68

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Solution

The fourth proportional to 105,689.81, 145,834.02 and 69,860.68 is: 96,395.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,689.81 : 145,834.02 = 69,860.68 : x
  2. Step 2: Convert to fraction form
    105,689.81/145,834.02 = 69,860.68/x
  3. Step 3: Cross multiply
    105,689.81x = 145,834.02 × 69,860.68
  4. Step 4: Simplify right side
    105,689.81x = 10,188,063,439.75
  5. Step 5: Solve for x
    x = 10,188,063,439.75/105,689.81
  6. Step 6: Final answer
    x = 96,395.89

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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.