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Finding the Fourth Proportional to 78,187.64, 117,281.56 and 19,023.32

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Solution

The fourth proportional to 78,187.64, 117,281.56 and 19,023.32 is: 28,535.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,187.64 : 117,281.56 = 19,023.32 : x
  2. Step 2: Convert to fraction form
    78,187.64/117,281.56 = 19,023.32/x
  3. Step 3: Cross multiply
    78,187.64x = 117,281.56 × 19,023.32
  4. Step 4: Simplify right side
    78,187.64x = 2,231,084,645.98
  5. Step 5: Solve for x
    x = 2,231,084,645.98/78,187.64
  6. Step 6: Final answer
    x = 28,535.00

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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.