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Finding the Fourth Proportional to 78,431.64, 117,647.64 and 19,266.72

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Solution

The fourth proportional to 78,431.64, 117,647.64 and 19,266.72 is: 28,900.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.64 : 117,647.64 = 19,266.72 : x
  2. Step 2: Convert to fraction form
    78,431.64/117,647.64 = 19,266.72/x
  3. Step 3: Cross multiply
    78,431.64x = 117,647.64 × 19,266.72
  4. Step 4: Simplify right side
    78,431.64x = 2,266,684,138.54
  5. Step 5: Solve for x
    x = 2,266,684,138.54/78,431.64
  6. Step 6: Final answer
    x = 28,900.12

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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.