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Finding the Fourth Proportional to 144,496.51, 199,445.30 and 84,078.87

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Solution

The fourth proportional to 144,496.51, 199,445.30 and 84,078.87 is: 116,052.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,496.51 : 199,445.30 = 84,078.87 : x
  2. Step 2: Convert to fraction form
    144,496.51/199,445.30 = 84,078.87/x
  3. Step 3: Cross multiply
    144,496.51x = 199,445.30 × 84,078.87
  4. Step 4: Simplify right side
    144,496.51x = 16,769,134,033.19
  5. Step 5: Solve for x
    x = 16,769,134,033.19/144,496.51
  6. Step 6: Final answer
    x = 116,052.17

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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.