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Finding the Fourth Proportional to 228,264.23, 315,105.53 and 136,415.91

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Solution

The fourth proportional to 228,264.23, 315,105.53 and 136,415.91 is: 188,314.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,264.23 : 315,105.53 = 136,415.91 : x
  2. Step 2: Convert to fraction form
    228,264.23/315,105.53 = 136,415.91/x
  3. Step 3: Cross multiply
    228,264.23x = 315,105.53 × 136,415.91
  4. Step 4: Simplify right side
    228,264.23x = 42,985,408,120.55
  5. Step 5: Solve for x
    x = 42,985,408,120.55/228,264.23
  6. Step 6: Final answer
    x = 188,314.26

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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.