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Finding the Fourth Proportional to 103,453.46, 155,177.12 and 28,578.11

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Solution

The fourth proportional to 103,453.46, 155,177.12 and 28,578.11 is: 42,866.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453.46 : 155,177.12 = 28,578.11 : x
  2. Step 2: Convert to fraction form
    103,453.46/155,177.12 = 28,578.11/x
  3. Step 3: Cross multiply
    103,453.46x = 155,177.12 × 28,578.11
  4. Step 4: Simplify right side
    103,453.46x = 4,434,667,886.07
  5. Step 5: Solve for x
    x = 4,434,667,886.07/103,453.46
  6. Step 6: Final answer
    x = 42,866.31

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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.