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Finding the Fourth Proportional to 106,278, 159,443.04 and 31,397.68

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Solution

The fourth proportional to 106,278, 159,443.04 and 31,397.68 is: 47,104.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,278 : 159,443.04 = 31,397.68 : x
  2. Step 2: Convert to fraction form
    106,278/159,443.04 = 31,397.68/x
  3. Step 3: Cross multiply
    106,278x = 159,443.04 × 31,397.68
  4. Step 4: Simplify right side
    106,278x = 5,006,141,548.15
  5. Step 5: Solve for x
    x = 5,006,141,548.15/106,278
  6. Step 6: Final answer
    x = 47,104.21

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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.