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Finding the Fourth Proportional to 98,157.67, 147,228.30 and 38,977.45

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Solution

The fourth proportional to 98,157.67, 147,228.30 and 38,977.45 is: 58,462.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,157.67 : 147,228.30 = 38,977.45 : x
  2. Step 2: Convert to fraction form
    98,157.67/147,228.30 = 38,977.45/x
  3. Step 3: Cross multiply
    98,157.67x = 147,228.30 × 38,977.45
  4. Step 4: Simplify right side
    98,157.67x = 5,738,584,161.92
  5. Step 5: Solve for x
    x = 5,738,584,161.92/98,157.67
  6. Step 6: Final answer
    x = 58,462.92

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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.