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Finding the Fourth Proportional to 103,075.88, 154,632.29 and 53,142.57

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Solution

The fourth proportional to 103,075.88, 154,632.29 and 53,142.57 is: 79,723.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,075.88 : 154,632.29 = 53,142.57 : x
  2. Step 2: Convert to fraction form
    103,075.88/154,632.29 = 53,142.57/x
  3. Step 3: Cross multiply
    103,075.88x = 154,632.29 × 53,142.57
  4. Step 4: Simplify right side
    103,075.88x = 8,217,557,029.87
  5. Step 5: Solve for x
    x = 8,217,557,029.87/103,075.88
  6. Step 6: Final answer
    x = 79,723.38

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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.