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Finding the Fourth Proportional to 238,954.82, 358,484.07 and 72,738.50

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Solution

The fourth proportional to 238,954.82, 358,484.07 and 72,738.50 is: 109,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,954.82 : 358,484.07 = 72,738.50 : x
  2. Step 2: Convert to fraction form
    238,954.82/358,484.07 = 72,738.50/x
  3. Step 3: Cross multiply
    238,954.82x = 358,484.07 × 72,738.50
  4. Step 4: Simplify right side
    238,954.82x = 26,075,593,525.70
  5. Step 5: Solve for x
    x = 26,075,593,525.70/238,954.82
  6. Step 6: Final answer
    x = 109,123.53

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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.