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Finding the Fourth Proportional to 78,447.69, 117,670.52 and 19,283.87

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Solution

The fourth proportional to 78,447.69, 117,670.52 and 19,283.87 is: 28,925.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,447.69 : 117,670.52 = 19,283.87 : x
  2. Step 2: Convert to fraction form
    78,447.69/117,670.52 = 19,283.87/x
  3. Step 3: Cross multiply
    78,447.69x = 117,670.52 × 19,283.87
  4. Step 4: Simplify right side
    78,447.69x = 2,269,143,352.90
  5. Step 5: Solve for x
    x = 2,269,143,352.90/78,447.69
  6. Step 6: Final answer
    x = 28,925.56

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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.