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Finding the Fourth Proportional to 197,695.75, 295,799.62 and 138,646.63

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Solution

The fourth proportional to 197,695.75, 295,799.62 and 138,646.63 is: 207,448.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,695.75 : 295,799.62 = 138,646.63 : x
  2. Step 2: Convert to fraction form
    197,695.75/295,799.62 = 138,646.63/x
  3. Step 3: Cross multiply
    197,695.75x = 295,799.62 × 138,646.63
  4. Step 4: Simplify right side
    197,695.75x = 41,011,620,468.28
  5. Step 5: Solve for x
    x = 41,011,620,468.28/197,695.75
  6. Step 6: Final answer
    x = 207,448.16

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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.