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Finding the Fourth Proportional to 198,705.04, 298,072.08 and 65,579.92

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Solution

The fourth proportional to 198,705.04, 298,072.08 and 65,579.92 is: 98,374.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,705.04 : 298,072.08 = 65,579.92 : x
  2. Step 2: Convert to fraction form
    198,705.04/298,072.08 = 65,579.92/x
  3. Step 3: Cross multiply
    198,705.04x = 298,072.08 × 65,579.92
  4. Step 4: Simplify right side
    198,705.04x = 19,547,543,160.63
  5. Step 5: Solve for x
    x = 19,547,543,160.63/198,705.04
  6. Step 6: Final answer
    x = 98,374.67

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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.