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Finding the Fourth Proportional to 64,770.35, 89,377.02 and 47,784.05

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Solution

The fourth proportional to 64,770.35, 89,377.02 and 47,784.05 is: 65,937.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,770.35 : 89,377.02 = 47,784.05 : x
  2. Step 2: Convert to fraction form
    64,770.35/89,377.02 = 47,784.05/x
  3. Step 3: Cross multiply
    64,770.35x = 89,377.02 × 47,784.05
  4. Step 4: Simplify right side
    64,770.35x = 4,270,795,992.53
  5. Step 5: Solve for x
    x = 4,270,795,992.53/64,770.35
  6. Step 6: Final answer
    x = 65,937.52

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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.