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Finding the Fourth Proportional to 85,495.64, 117,984.30 and 47,770.52

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Solution

The fourth proportional to 85,495.64, 117,984.30 and 47,770.52 is: 65,923.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,495.64 : 117,984.30 = 47,770.52 : x
  2. Step 2: Convert to fraction form
    85,495.64/117,984.30 = 47,770.52/x
  3. Step 3: Cross multiply
    85,495.64x = 117,984.30 × 47,770.52
  4. Step 4: Simplify right side
    85,495.64x = 5,636,171,362.84
  5. Step 5: Solve for x
    x = 5,636,171,362.84/85,495.64
  6. Step 6: Final answer
    x = 65,923.49

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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.