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Finding the Fourth Proportional to 78,441.59, 117,661.36 and 19,277.78

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Solution

The fourth proportional to 78,441.59, 117,661.36 and 19,277.78 is: 28,916.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,441.59 : 117,661.36 = 19,277.78 : x
  2. Step 2: Convert to fraction form
    78,441.59/117,661.36 = 19,277.78/x
  3. Step 3: Cross multiply
    78,441.59x = 117,661.36 × 19,277.78
  4. Step 4: Simplify right side
    78,441.59x = 2,268,249,812.58
  5. Step 5: Solve for x
    x = 2,268,249,812.58/78,441.59
  6. Step 6: Final answer
    x = 28,916.42

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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.