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Finding the Fourth Proportional to 239,145.30, 358,632.90 and 105,786.90

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Solution

The fourth proportional to 239,145.30, 358,632.90 and 105,786.90 is: 158,642.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,145.30 : 358,632.90 = 105,786.90 : x
  2. Step 2: Convert to fraction form
    239,145.30/358,632.90 = 105,786.90/x
  3. Step 3: Cross multiply
    239,145.30x = 358,632.90 × 105,786.90
  4. Step 4: Simplify right side
    239,145.30x = 37,938,662,729.01
  5. Step 5: Solve for x
    x = 37,938,662,729.01/239,145.30
  6. Step 6: Final answer
    x = 158,642.73

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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.