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Finding the Fourth Proportional to 281,009.70, 421,408.76 and 91,420.47

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Solution

The fourth proportional to 281,009.70, 421,408.76 and 91,420.47 is: 137,096.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,009.70 : 421,408.76 = 91,420.47 : x
  2. Step 2: Convert to fraction form
    281,009.70/421,408.76 = 91,420.47/x
  3. Step 3: Cross multiply
    281,009.70x = 421,408.76 × 91,420.47
  4. Step 4: Simplify right side
    281,009.70x = 38,525,386,444.21
  5. Step 5: Solve for x
    x = 38,525,386,444.21/281,009.70
  6. Step 6: Final answer
    x = 137,096.29

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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.