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Finding the Fourth Proportional to 103,415.82, 155,085.42 and 36,838.26

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Solution

The fourth proportional to 103,415.82, 155,085.42 and 36,838.26 is: 55,243.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,415.82 : 155,085.42 = 36,838.26 : x
  2. Step 2: Convert to fraction form
    103,415.82/155,085.42 = 36,838.26/x
  3. Step 3: Cross multiply
    103,415.82x = 155,085.42 × 36,838.26
  4. Step 4: Simplify right side
    103,415.82x = 5,713,077,024.17
  5. Step 5: Solve for x
    x = 5,713,077,024.17/103,415.82
  6. Step 6: Final answer
    x = 55,243.74

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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.