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Finding the Fourth Proportional to 117,751.37, 162,414.55 and 77,452.25

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Solution

The fourth proportional to 117,751.37, 162,414.55 and 77,452.25 is: 106,829.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,751.37 : 162,414.55 = 77,452.25 : x
  2. Step 2: Convert to fraction form
    117,751.37/162,414.55 = 77,452.25/x
  3. Step 3: Cross multiply
    117,751.37x = 162,414.55 × 77,452.25
  4. Step 4: Simplify right side
    117,751.37x = 12,579,371,518.16
  5. Step 5: Solve for x
    x = 12,579,371,518.16/117,751.37
  6. Step 6: Final answer
    x = 106,829.94

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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.