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Finding the Fourth Proportional to 253,360.40, 380,018.73 and 75,907.22

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Solution

The fourth proportional to 253,360.40, 380,018.73 and 75,907.22 is: 113,854.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,360.40 : 380,018.73 = 75,907.22 : x
  2. Step 2: Convert to fraction form
    253,360.40/380,018.73 = 75,907.22/x
  3. Step 3: Cross multiply
    253,360.40x = 380,018.73 × 75,907.22
  4. Step 4: Simplify right side
    253,360.40x = 28,846,165,342.23
  5. Step 5: Solve for x
    x = 28,846,165,342.23/253,360.40
  6. Step 6: Final answer
    x = 113,854.28

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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.