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Finding the Fourth Proportional to 64,645.85, 89,221.88 and 37,783.11

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Solution

The fourth proportional to 64,645.85, 89,221.88 and 37,783.11 is: 52,146.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,645.85 : 89,221.88 = 37,783.11 : x
  2. Step 2: Convert to fraction form
    64,645.85/89,221.88 = 37,783.11/x
  3. Step 3: Cross multiply
    64,645.85x = 89,221.88 × 37,783.11
  4. Step 4: Simplify right side
    64,645.85x = 3,371,080,106.45
  5. Step 5: Solve for x
    x = 3,371,080,106.45/64,645.85
  6. Step 6: Final answer
    x = 52,146.89

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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.