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Finding the Fourth Proportional to 78,185.65, 117,278.56 and 19,021.32

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Solution

The fourth proportional to 78,185.65, 117,278.56 and 19,021.32 is: 28,532.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,185.65 : 117,278.56 = 19,021.32 : x
  2. Step 2: Convert to fraction form
    78,185.65/117,278.56 = 19,021.32/x
  3. Step 3: Cross multiply
    78,185.65x = 117,278.56 × 19,021.32
  4. Step 4: Simplify right side
    78,185.65x = 2,230,792,824.26
  5. Step 5: Solve for x
    x = 2,230,792,824.26/78,185.65
  6. Step 6: Final answer
    x = 28,532.00

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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.