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Finding the Fourth Proportional to 78,431.94, 117,646.90 and 19,268.12

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Solution

The fourth proportional to 78,431.94, 117,646.90 and 19,268.12 is: 28,901.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,431.94 : 117,646.90 = 19,268.12 : x
  2. Step 2: Convert to fraction form
    78,431.94/117,646.90 = 19,268.12/x
  3. Step 3: Cross multiply
    78,431.94x = 117,646.90 × 19,268.12
  4. Step 4: Simplify right side
    78,431.94x = 2,266,834,832.77
  5. Step 5: Solve for x
    x = 2,266,834,832.77/78,431.94
  6. Step 6: Final answer
    x = 28,901.94

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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.