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Finding the Fourth Proportional to 98,099.13, 147,150.09 and 27,978.45

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Solution

The fourth proportional to 98,099.13, 147,150.09 and 27,978.45 is: 41,968.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,099.13 : 147,150.09 = 27,978.45 : x
  2. Step 2: Convert to fraction form
    98,099.13/147,150.09 = 27,978.45/x
  3. Step 3: Cross multiply
    98,099.13x = 147,150.09 × 27,978.45
  4. Step 4: Simplify right side
    98,099.13x = 4,117,031,435.56
  5. Step 5: Solve for x
    x = 4,117,031,435.56/98,099.13
  6. Step 6: Final answer
    x = 41,968.07

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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.