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Finding the Fourth Proportional to 193,454.64, 290,070.21 and 74,987.58

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Solution

The fourth proportional to 193,454.64, 290,070.21 and 74,987.58 is: 112,438.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,454.64 : 290,070.21 = 74,987.58 : x
  2. Step 2: Convert to fraction form
    193,454.64/290,070.21 = 74,987.58/x
  3. Step 3: Cross multiply
    193,454.64x = 290,070.21 × 74,987.58
  4. Step 4: Simplify right side
    193,454.64x = 21,751,663,077.99
  5. Step 5: Solve for x
    x = 21,751,663,077.99/193,454.64
  6. Step 6: Final answer
    x = 112,438.05

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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.