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Finding the Fourth Proportional to 259,118.84, 388,494.12 and 99,059.82

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Solution

The fourth proportional to 259,118.84, 388,494.12 and 99,059.82 is: 148,519.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,118.84 : 388,494.12 = 99,059.82 : x
  2. Step 2: Convert to fraction form
    259,118.84/388,494.12 = 99,059.82/x
  3. Step 3: Cross multiply
    259,118.84x = 388,494.12 × 99,059.82
  4. Step 4: Simplify right side
    259,118.84x = 38,484,159,244.48
  5. Step 5: Solve for x
    x = 38,484,159,244.48/259,118.84
  6. Step 6: Final answer
    x = 148,519.34

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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.