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Finding the Fourth Proportional to 105,365.64, 158,024.79 and 30,469.08

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Solution

The fourth proportional to 105,365.64, 158,024.79 and 30,469.08 is: 45,696.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,365.64 : 158,024.79 = 30,469.08 : x
  2. Step 2: Convert to fraction form
    105,365.64/158,024.79 = 30,469.08/x
  3. Step 3: Cross multiply
    105,365.64x = 158,024.79 × 30,469.08
  4. Step 4: Simplify right side
    105,365.64x = 4,814,869,968.49
  5. Step 5: Solve for x
    x = 4,814,869,968.49/105,365.64
  6. Step 6: Final answer
    x = 45,696.78

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1.5x scale

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.