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Finding the Fourth Proportional to 105,805.40, 158,784.80 and 39,255

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Solution

The fourth proportional to 105,805.40, 158,784.80 and 39,255 is: 58,910.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,805.40 : 158,784.80 = 39,255 : x
  2. Step 2: Convert to fraction form
    105,805.40/158,784.80 = 39,255/x
  3. Step 3: Cross multiply
    105,805.40x = 158,784.80 × 39,255
  4. Step 4: Simplify right side
    105,805.40x = 6,233,097,324
  5. Step 5: Solve for x
    x = 6,233,097,324/105,805.40
  6. Step 6: Final answer
    x = 58,910.96

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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.