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Finding the Fourth Proportional to 71,370.30, 107,055.45 and 64,809.30

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Solution

The fourth proportional to 71,370.30, 107,055.45 and 64,809.30 is: 97,213.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,370.30 : 107,055.45 = 64,809.30 : x
  2. Step 2: Convert to fraction form
    71,370.30/107,055.45 = 64,809.30/x
  3. Step 3: Cross multiply
    71,370.30x = 107,055.45 × 64,809.30
  4. Step 4: Simplify right side
    71,370.30x = 6,938,188,775.69
  5. Step 5: Solve for x
    x = 6,938,188,775.69/71,370.30
  6. Step 6: Final answer
    x = 97,213.95

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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.