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Finding the Fourth Proportional to 147,886.79, 204,083.78 and 84,230.51

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Solution

The fourth proportional to 147,886.79, 204,083.78 and 84,230.51 is: 116,238.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,886.79 : 204,083.78 = 84,230.51 : x
  2. Step 2: Convert to fraction form
    147,886.79/204,083.78 = 84,230.51/x
  3. Step 3: Cross multiply
    147,886.79x = 204,083.78 × 84,230.51
  4. Step 4: Simplify right side
    147,886.79x = 17,190,080,450.98
  5. Step 5: Solve for x
    x = 17,190,080,450.98/147,886.79
  6. Step 6: Final answer
    x = 116,238.11

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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.