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Finding the Fourth Proportional to 98,230.29, 147,346.46 and 78,633.42

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Solution

The fourth proportional to 98,230.29, 147,346.46 and 78,633.42 is: 117,950.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,230.29 : 147,346.46 = 78,633.42 : x
  2. Step 2: Convert to fraction form
    98,230.29/147,346.46 = 78,633.42/x
  3. Step 3: Cross multiply
    98,230.29x = 147,346.46 × 78,633.42
  4. Step 4: Simplify right side
    98,230.29x = 11,586,355,423.85
  5. Step 5: Solve for x
    x = 11,586,355,423.85/98,230.29
  6. Step 6: Final answer
    x = 117,950.95

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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.