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Finding the Fourth Proportional to 98,896.80, 148,289.30 and 38,943.84

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Solution

The fourth proportional to 98,896.80, 148,289.30 and 38,943.84 is: 58,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,896.80 : 148,289.30 = 38,943.84 : x
  2. Step 2: Convert to fraction form
    98,896.80/148,289.30 = 38,943.84/x
  3. Step 3: Cross multiply
    98,896.80x = 148,289.30 × 38,943.84
  4. Step 4: Simplify right side
    98,896.80x = 5,774,954,128.83
  5. Step 5: Solve for x
    x = 5,774,954,128.83/98,896.80
  6. Step 6: Final answer
    x = 58,393.74

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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.