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Finding the Fourth Proportional to 238,633.50, 357,952.41 and 72,421.50

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Solution

The fourth proportional to 238,633.50, 357,952.41 and 72,421.50 is: 108,632.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,633.50 : 357,952.41 = 72,421.50 : x
  2. Step 2: Convert to fraction form
    238,633.50/357,952.41 = 72,421.50/x
  3. Step 3: Cross multiply
    238,633.50x = 357,952.41 × 72,421.50
  4. Step 4: Simplify right side
    238,633.50x = 25,923,450,460.82
  5. Step 5: Solve for x
    x = 25,923,450,460.82/238,633.50
  6. Step 6: Final answer
    x = 108,632.91

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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.