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Finding the Fourth Proportional to 212,420.64, 293,148.22 and 115,619.82

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Solution

The fourth proportional to 212,420.64, 293,148.22 and 115,619.82 is: 159,559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,420.64 : 293,148.22 = 115,619.82 : x
  2. Step 2: Convert to fraction form
    212,420.64/293,148.22 = 115,619.82/x
  3. Step 3: Cross multiply
    212,420.64x = 293,148.22 × 115,619.82
  4. Step 4: Simplify right side
    212,420.64x = 33,893,744,429.72
  5. Step 5: Solve for x
    x = 33,893,744,429.72/212,420.64
  6. Step 6: Final answer
    x = 159,559.56

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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.