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Finding the Fourth Proportional to 117,962, 162,784.28 and 64,245.84

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Solution

The fourth proportional to 117,962, 162,784.28 and 64,245.84 is: 88,657.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,962 : 162,784.28 = 64,245.84 : x
  2. Step 2: Convert to fraction form
    117,962/162,784.28 = 64,245.84/x
  3. Step 3: Cross multiply
    117,962x = 162,784.28 × 64,245.84
  4. Step 4: Simplify right side
    117,962x = 10,458,212,807.40
  5. Step 5: Solve for x
    x = 10,458,212,807.40/117,962
  6. Step 6: Final answer
    x = 88,657.47

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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.