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Finding the Fourth Proportional to 213,354.09, 294,417.77 and 117,842.31

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Solution

The fourth proportional to 213,354.09, 294,417.77 and 117,842.31 is: 162,616.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,354.09 : 294,417.77 = 117,842.31 : x
  2. Step 2: Convert to fraction form
    213,354.09/294,417.77 = 117,842.31/x
  3. Step 3: Cross multiply
    213,354.09x = 294,417.77 × 117,842.31
  4. Step 4: Simplify right side
    213,354.09x = 34,694,869,532.64
  5. Step 5: Solve for x
    x = 34,694,869,532.64/213,354.09
  6. Step 6: Final answer
    x = 162,616.38

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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.