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Finding the Fourth Proportional to 158,940.34, 219,261.88 and 115,827.40

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Solution

The fourth proportional to 158,940.34, 219,261.88 and 115,827.40 is: 159,786.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,940.34 : 219,261.88 = 115,827.40 : x
  2. Step 2: Convert to fraction form
    158,940.34/219,261.88 = 115,827.40/x
  3. Step 3: Cross multiply
    158,940.34x = 219,261.88 × 115,827.40
  4. Step 4: Simplify right side
    158,940.34x = 25,396,533,479.51
  5. Step 5: Solve for x
    x = 25,396,533,479.51/158,940.34
  6. Step 6: Final answer
    x = 159,786.58

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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.