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Finding the Fourth Proportional to 194,265, 291,409.20 and 61,149.60

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Solution

The fourth proportional to 194,265, 291,409.20 and 61,149.60 is: 91,728.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,265 : 291,409.20 = 61,149.60 : x
  2. Step 2: Convert to fraction form
    194,265/291,409.20 = 61,149.60/x
  3. Step 3: Cross multiply
    194,265x = 291,409.20 × 61,149.60
  4. Step 4: Simplify right side
    194,265x = 17,819,556,016.32
  5. Step 5: Solve for x
    x = 17,819,556,016.32/194,265
  6. Step 6: Final answer
    x = 91,728.08

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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.