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Finding the Fourth Proportional to 155,033.82, 213,943.95 and 87,051.33

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Solution

The fourth proportional to 155,033.82, 213,943.95 and 87,051.33 is: 120,129.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,033.82 : 213,943.95 = 87,051.33 : x
  2. Step 2: Convert to fraction form
    155,033.82/213,943.95 = 87,051.33/x
  3. Step 3: Cross multiply
    155,033.82x = 213,943.95 × 87,051.33
  4. Step 4: Simplify right side
    155,033.82x = 18,624,105,392.95
  5. Step 5: Solve for x
    x = 18,624,105,392.95/155,033.82
  6. Step 6: Final answer
    x = 120,129.31

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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.