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Finding the Fourth Proportional to 100,301.43, 138,420.50 and 57,284.67

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Solution

The fourth proportional to 100,301.43, 138,420.50 and 57,284.67 is: 79,055.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,301.43 : 138,420.50 = 57,284.67 : x
  2. Step 2: Convert to fraction form
    100,301.43/138,420.50 = 57,284.67/x
  3. Step 3: Cross multiply
    100,301.43x = 138,420.50 × 57,284.67
  4. Step 4: Simplify right side
    100,301.43x = 7,929,372,377.31
  5. Step 5: Solve for x
    x = 7,929,372,377.31/100,301.43
  6. Step 6: Final answer
    x = 79,055.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.