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Finding the Fourth Proportional to 105,816.69, 158,729.90 and 26,931.60

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Solution

The fourth proportional to 105,816.69, 158,729.90 and 26,931.60 is: 40,398.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,816.69 : 158,729.90 = 26,931.60 : x
  2. Step 2: Convert to fraction form
    105,816.69/158,729.90 = 26,931.60/x
  3. Step 3: Cross multiply
    105,816.69x = 158,729.90 × 26,931.60
  4. Step 4: Simplify right side
    105,816.69x = 4,274,850,040.18
  5. Step 5: Solve for x
    x = 4,274,850,040.18/105,816.69
  6. Step 6: Final answer
    x = 40,398.64

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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.