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Finding the Fourth Proportional to 101,381.58, 152,094.10 and 30,309.78

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Solution

The fourth proportional to 101,381.58, 152,094.10 and 30,309.78 is: 45,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,381.58 : 152,094.10 = 30,309.78 : x
  2. Step 2: Convert to fraction form
    101,381.58/152,094.10 = 30,309.78/x
  3. Step 3: Cross multiply
    101,381.58x = 152,094.10 × 30,309.78
  4. Step 4: Simplify right side
    101,381.58x = 4,609,938,710.30
  5. Step 5: Solve for x
    x = 4,609,938,710.30/101,381.58
  6. Step 6: Final answer
    x = 45,471.17

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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.