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Finding the Fourth Proportional to 105,341, 158,011.50 and 31,469

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Solution

The fourth proportional to 105,341, 158,011.50 and 31,469 is: 47,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,341 : 158,011.50 = 31,469 : x
  2. Step 2: Convert to fraction form
    105,341/158,011.50 = 31,469/x
  3. Step 3: Cross multiply
    105,341x = 158,011.50 × 31,469
  4. Step 4: Simplify right side
    105,341x = 4,972,463,893.50
  5. Step 5: Solve for x
    x = 4,972,463,893.50/105,341
  6. Step 6: Final answer
    x = 47,203.50

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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.