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Finding the Fourth Proportional to 117,643.24, 162,415.22 and 77,473.64

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Solution

The fourth proportional to 117,643.24, 162,415.22 and 77,473.64 is: 106,958.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,643.24 : 162,415.22 = 77,473.64 : x
  2. Step 2: Convert to fraction form
    117,643.24/162,415.22 = 77,473.64/x
  3. Step 3: Cross multiply
    117,643.24x = 162,415.22 × 77,473.64
  4. Step 4: Simplify right side
    117,643.24x = 12,582,898,284.80
  5. Step 5: Solve for x
    x = 12,582,898,284.80/117,643.24
  6. Step 6: Final answer
    x = 106,958.11

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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.