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Finding the Fourth Proportional to 98,128.60, 147,148.62 and 27,991.24

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Solution

The fourth proportional to 98,128.60, 147,148.62 and 27,991.24 is: 41,974.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,128.60 : 147,148.62 = 27,991.24 : x
  2. Step 2: Convert to fraction form
    98,128.60/147,148.62 = 27,991.24/x
  3. Step 3: Cross multiply
    98,128.60x = 147,148.62 × 27,991.24
  4. Step 4: Simplify right side
    98,128.60x = 4,118,872,338.09
  5. Step 5: Solve for x
    x = 4,118,872,338.09/98,128.60
  6. Step 6: Final answer
    x = 41,974.23

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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.