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Finding the Fourth Proportional to 203,058.26, 280,211.32 and 112,407.86

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Solution

The fourth proportional to 203,058.26, 280,211.32 and 112,407.86 is: 155,117.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,058.26 : 280,211.32 = 112,407.86 : x
  2. Step 2: Convert to fraction form
    203,058.26/280,211.32 = 112,407.86/x
  3. Step 3: Cross multiply
    203,058.26x = 280,211.32 × 112,407.86
  4. Step 4: Simplify right side
    203,058.26x = 31,497,954,828.98
  5. Step 5: Solve for x
    x = 31,497,954,828.98/203,058.26
  6. Step 6: Final answer
    x = 155,117.82

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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.