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Finding the Fourth Proportional to 105,302.60, 158,016.30 and 38,789.48

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Solution

The fourth proportional to 105,302.60, 158,016.30 and 38,789.48 is: 58,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,302.60 : 158,016.30 = 38,789.48 : x
  2. Step 2: Convert to fraction form
    105,302.60/158,016.30 = 38,789.48/x
  3. Step 3: Cross multiply
    105,302.60x = 158,016.30 × 38,789.48
  4. Step 4: Simplify right side
    105,302.60x = 6,129,370,108.52
  5. Step 5: Solve for x
    x = 6,129,370,108.52/105,302.60
  6. Step 6: Final answer
    x = 58,207.21

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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.