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Finding the Fourth Proportional to 117,578.84, 162,164.92 and 77,333.92

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Solution

The fourth proportional to 117,578.84, 162,164.92 and 77,333.92 is: 106,659.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,578.84 : 162,164.92 = 77,333.92 : x
  2. Step 2: Convert to fraction form
    117,578.84/162,164.92 = 77,333.92/x
  3. Step 3: Cross multiply
    117,578.84x = 162,164.92 × 77,333.92
  4. Step 4: Simplify right side
    117,578.84x = 12,540,848,950.09
  5. Step 5: Solve for x
    x = 12,540,848,950.09/117,578.84
  6. Step 6: Final answer
    x = 106,659.06

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1.5x scale

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.