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Finding the Fourth Proportional to 78,395.28, 117,595.15 and 19,230.90

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Solution

The fourth proportional to 78,395.28, 117,595.15 and 19,230.90 is: 28,846.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,395.28 : 117,595.15 = 19,230.90 : x
  2. Step 2: Convert to fraction form
    78,395.28/117,595.15 = 19,230.90/x
  3. Step 3: Cross multiply
    78,395.28x = 117,595.15 × 19,230.90
  4. Step 4: Simplify right side
    78,395.28x = 2,261,460,570.14
  5. Step 5: Solve for x
    x = 2,261,460,570.14/78,395.28
  6. Step 6: Final answer
    x = 28,846.90

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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.