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Finding the Fourth Proportional to 195,689.97, 293,308.16 and 90,289.53

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Solution

The fourth proportional to 195,689.97, 293,308.16 and 90,289.53 is: 135,329.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,689.97 : 293,308.16 = 90,289.53 : x
  2. Step 2: Convert to fraction form
    195,689.97/293,308.16 = 90,289.53/x
  3. Step 3: Cross multiply
    195,689.97x = 293,308.16 × 90,289.53
  4. Step 4: Simplify right side
    195,689.97x = 26,482,655,460.12
  5. Step 5: Solve for x
    x = 26,482,655,460.12/195,689.97
  6. Step 6: Final answer
    x = 135,329.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.