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Finding the Fourth Proportional to 98,765.84, 148,170.74 and 38,800.12

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Solution

The fourth proportional to 98,765.84, 148,170.74 and 38,800.12 is: 58,208.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,765.84 : 148,170.74 = 38,800.12 : x
  2. Step 2: Convert to fraction form
    98,765.84/148,170.74 = 38,800.12/x
  3. Step 3: Cross multiply
    98,765.84x = 148,170.74 × 38,800.12
  4. Step 4: Simplify right side
    98,765.84x = 5,749,041,928.06
  5. Step 5: Solve for x
    x = 5,749,041,928.06/98,765.84
  6. Step 6: Final answer
    x = 58,208.81

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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.