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Finding the Fourth Proportional to 100,389.47, 150,486.29 and 47,784.83

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Solution

The fourth proportional to 100,389.47, 150,486.29 and 47,784.83 is: 71,630.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,389.47 : 150,486.29 = 47,784.83 : x
  2. Step 2: Convert to fraction form
    100,389.47/150,486.29 = 47,784.83/x
  3. Step 3: Cross multiply
    100,389.47x = 150,486.29 × 47,784.83
  4. Step 4: Simplify right side
    100,389.47x = 7,190,961,546.06
  5. Step 5: Solve for x
    x = 7,190,961,546.06/100,389.47
  6. Step 6: Final answer
    x = 71,630.64

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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.