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Finding the Fourth Proportional to 189,963.81, 262,152.15 and 103,920.96

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Solution

The fourth proportional to 189,963.81, 262,152.15 and 103,920.96 is: 143,412.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,963.81 : 262,152.15 = 103,920.96 : x
  2. Step 2: Convert to fraction form
    189,963.81/262,152.15 = 103,920.96/x
  3. Step 3: Cross multiply
    189,963.81x = 262,152.15 × 103,920.96
  4. Step 4: Simplify right side
    189,963.81x = 27,243,103,094.06
  5. Step 5: Solve for x
    x = 27,243,103,094.06/189,963.81
  6. Step 6: Final answer
    x = 143,412.07

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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.