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Finding the Fourth Proportional to 207,133.64, 286,023.78 and 196,505

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Solution

The fourth proportional to 207,133.64, 286,023.78 and 196,505 is: 271,347.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,133.64 : 286,023.78 = 196,505 : x
  2. Step 2: Convert to fraction form
    207,133.64/286,023.78 = 196,505/x
  3. Step 3: Cross multiply
    207,133.64x = 286,023.78 × 196,505
  4. Step 4: Simplify right side
    207,133.64x = 56,205,102,888.90
  5. Step 5: Solve for x
    x = 56,205,102,888.90/207,133.64
  6. Step 6: Final answer
    x = 271,347.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.