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Finding the Fourth Proportional to 129,424.26, 178,569.46 and 77,727.55

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Solution

The fourth proportional to 129,424.26, 178,569.46 and 77,727.55 is: 107,242.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,424.26 : 178,569.46 = 77,727.55 : x
  2. Step 2: Convert to fraction form
    129,424.26/178,569.46 = 77,727.55/x
  3. Step 3: Cross multiply
    129,424.26x = 178,569.46 × 77,727.55
  4. Step 4: Simplify right side
    129,424.26x = 13,879,766,616.18
  5. Step 5: Solve for x
    x = 13,879,766,616.18/129,424.26
  6. Step 6: Final answer
    x = 107,242.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.