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Finding the Fourth Proportional to 100,172.63, 150,020.43 and 57,963.77

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Solution

The fourth proportional to 100,172.63, 150,020.43 and 57,963.77 is: 86,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,172.63 : 150,020.43 = 57,963.77 : x
  2. Step 2: Convert to fraction form
    100,172.63/150,020.43 = 57,963.77/x
  3. Step 3: Cross multiply
    100,172.63x = 150,020.43 × 57,963.77
  4. Step 4: Simplify right side
    100,172.63x = 8,695,749,294.93
  5. Step 5: Solve for x
    x = 8,695,749,294.93/100,172.63
  6. Step 6: Final answer
    x = 86,807.63

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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.