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Finding the Fourth Proportional to 117,648, 162,354.24 and 64,656

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Solution

The fourth proportional to 117,648, 162,354.24 and 64,656 is: 89,225.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,648 : 162,354.24 = 64,656 : x
  2. Step 2: Convert to fraction form
    117,648/162,354.24 = 64,656/x
  3. Step 3: Cross multiply
    117,648x = 162,354.24 × 64,656
  4. Step 4: Simplify right side
    117,648x = 10,497,175,741.44
  5. Step 5: Solve for x
    x = 10,497,175,741.44/117,648
  6. Step 6: Final answer
    x = 89,225.28

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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.