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Finding the Fourth Proportional to 106,578.82, 147,084.15 and 70,707.70

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Solution

The fourth proportional to 106,578.82, 147,084.15 and 70,707.70 is: 97,580.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,578.82 : 147,084.15 = 70,707.70 : x
  2. Step 2: Convert to fraction form
    106,578.82/147,084.15 = 70,707.70/x
  3. Step 3: Cross multiply
    106,578.82x = 147,084.15 × 70,707.70
  4. Step 4: Simplify right side
    106,578.82x = 10,399,981,952.96
  5. Step 5: Solve for x
    x = 10,399,981,952.96/106,578.82
  6. Step 6: Final answer
    x = 97,580.19

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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.