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Finding the Fourth Proportional to 114,604.67, 172,020.14 and 86,042.28

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Solution

The fourth proportional to 114,604.67, 172,020.14 and 86,042.28 is: 129,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,604.67 : 172,020.14 = 86,042.28 : x
  2. Step 2: Convert to fraction form
    114,604.67/172,020.14 = 86,042.28/x
  3. Step 3: Cross multiply
    114,604.67x = 172,020.14 × 86,042.28
  4. Step 4: Simplify right side
    114,604.67x = 14,801,005,051.52
  5. Step 5: Solve for x
    x = 14,801,005,051.52/114,604.67
  6. Step 6: Final answer
    x = 129,148.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.