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Finding the Fourth Proportional to 105,295.60, 158,005.80 and 38,782.48

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Solution

The fourth proportional to 105,295.60, 158,005.80 and 38,782.48 is: 58,196.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,295.60 : 158,005.80 = 38,782.48 : x
  2. Step 2: Convert to fraction form
    105,295.60/158,005.80 = 38,782.48/x
  3. Step 3: Cross multiply
    105,295.60x = 158,005.80 × 38,782.48
  4. Step 4: Simplify right side
    105,295.60x = 6,127,856,778.38
  5. Step 5: Solve for x
    x = 6,127,856,778.38/105,295.60
  6. Step 6: Final answer
    x = 58,196.70

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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.