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Finding the Fourth Proportional to 198,500.29, 297,583.05 and 86,095.84

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Solution

The fourth proportional to 198,500.29, 297,583.05 and 86,095.84 is: 129,071.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,500.29 : 297,583.05 = 86,095.84 : x
  2. Step 2: Convert to fraction form
    198,500.29/297,583.05 = 86,095.84/x
  3. Step 3: Cross multiply
    198,500.29x = 297,583.05 × 86,095.84
  4. Step 4: Simplify right side
    198,500.29x = 25,620,662,659.51
  5. Step 5: Solve for x
    x = 25,620,662,659.51/198,500.29
  6. Step 6: Final answer
    x = 129,071.16

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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.