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Finding the Fourth Proportional to 103,453.71, 155,177.49 and 28,578.36

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Solution

The fourth proportional to 103,453.71, 155,177.49 and 28,578.36 is: 42,866.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,453.71 : 155,177.49 = 28,578.36 : x
  2. Step 2: Convert to fraction form
    103,453.71/155,177.49 = 28,578.36/x
  3. Step 3: Cross multiply
    103,453.71x = 155,177.49 × 28,578.36
  4. Step 4: Simplify right side
    103,453.71x = 4,434,717,397.23
  5. Step 5: Solve for x
    x = 4,434,717,397.23/103,453.71
  6. Step 6: Final answer
    x = 42,866.69

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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.