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Finding the Fourth Proportional to 98,078.90, 146,921.42 and 83,021.54

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Solution

The fourth proportional to 98,078.90, 146,921.42 and 83,021.54 is: 124,365.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,078.90 : 146,921.42 = 83,021.54 : x
  2. Step 2: Convert to fraction form
    98,078.90/146,921.42 = 83,021.54/x
  3. Step 3: Cross multiply
    98,078.90x = 146,921.42 × 83,021.54
  4. Step 4: Simplify right side
    98,078.90x = 12,197,642,547.39
  5. Step 5: Solve for x
    x = 12,197,642,547.39/98,078.90
  6. Step 6: Final answer
    x = 124,365.61

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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.