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Finding the Fourth Proportional to 231,598.80, 319,685.16 and 136,133.82

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Solution

The fourth proportional to 231,598.80, 319,685.16 and 136,133.82 is: 187,911.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,598.80 : 319,685.16 = 136,133.82 : x
  2. Step 2: Convert to fraction form
    231,598.80/319,685.16 = 136,133.82/x
  3. Step 3: Cross multiply
    231,598.80x = 319,685.16 × 136,133.82
  4. Step 4: Simplify right side
    231,598.80x = 43,519,962,028.11
  5. Step 5: Solve for x
    x = 43,519,962,028.11/231,598.80
  6. Step 6: Final answer
    x = 187,911.00

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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.