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Finding the Fourth Proportional to 106,759.68, 146,903.40 and 103,513.20

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Solution

The fourth proportional to 106,759.68, 146,903.40 and 103,513.20 is: 142,436.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,759.68 : 146,903.40 = 103,513.20 : x
  2. Step 2: Convert to fraction form
    106,759.68/146,903.40 = 103,513.20/x
  3. Step 3: Cross multiply
    106,759.68x = 146,903.40 × 103,513.20
  4. Step 4: Simplify right side
    106,759.68x = 15,206,441,024.88
  5. Step 5: Solve for x
    x = 15,206,441,024.88/106,759.68
  6. Step 6: Final answer
    x = 142,436.18

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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.