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Finding the Fourth Proportional to 190,559.64, 262,965.96 and 105,682.98

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Solution

The fourth proportional to 190,559.64, 262,965.96 and 105,682.98 is: 145,838.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,559.64 : 262,965.96 = 105,682.98 : x
  2. Step 2: Convert to fraction form
    190,559.64/262,965.96 = 105,682.98/x
  3. Step 3: Cross multiply
    190,559.64x = 262,965.96 × 105,682.98
  4. Step 4: Simplify right side
    190,559.64x = 27,791,026,291.36
  5. Step 5: Solve for x
    x = 27,791,026,291.36/190,559.64
  6. Step 6: Final answer
    x = 145,838.99

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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.