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Finding the Fourth Proportional to 103,810.92, 155,716.48 and 28,931.28

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Solution

The fourth proportional to 103,810.92, 155,716.48 and 28,931.28 is: 43,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,810.92 : 155,716.48 = 28,931.28 : x
  2. Step 2: Convert to fraction form
    103,810.92/155,716.48 = 28,931.28/x
  3. Step 3: Cross multiply
    103,810.92x = 155,716.48 × 28,931.28
  4. Step 4: Simplify right side
    103,810.92x = 4,505,077,083.49
  5. Step 5: Solve for x
    x = 4,505,077,083.49/103,810.92
  6. Step 6: Final answer
    x = 43,396.95

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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.