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Finding the Fourth Proportional to 117,468, 162,240.44 and 77,361

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Solution

The fourth proportional to 117,468, 162,240.44 and 77,361 is: 106,846.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,468 : 162,240.44 = 77,361 : x
  2. Step 2: Convert to fraction form
    117,468/162,240.44 = 77,361/x
  3. Step 3: Cross multiply
    117,468x = 162,240.44 × 77,361
  4. Step 4: Simplify right side
    117,468x = 12,551,082,678.84
  5. Step 5: Solve for x
    x = 12,551,082,678.84/117,468
  6. Step 6: Final answer
    x = 106,846.82

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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.