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Finding the Fourth Proportional to 212,551.90, 293,321.86 and 115,755.89

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Solution

The fourth proportional to 212,551.90, 293,321.86 and 115,755.89 is: 159,743.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,551.90 : 293,321.86 = 115,755.89 : x
  2. Step 2: Convert to fraction form
    212,551.90/293,321.86 = 115,755.89/x
  3. Step 3: Cross multiply
    212,551.90x = 293,321.86 × 115,755.89
  4. Step 4: Simplify right side
    212,551.90x = 33,953,731,204.76
  5. Step 5: Solve for x
    x = 33,953,731,204.76/212,551.90
  6. Step 6: Final answer
    x = 159,743.25

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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.