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Finding the Fourth Proportional to 198,397.08, 297,639.90 and 65,271.96

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Solution

The fourth proportional to 198,397.08, 297,639.90 and 65,271.96 is: 97,922.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,397.08 : 297,639.90 = 65,271.96 : x
  2. Step 2: Convert to fraction form
    198,397.08/297,639.90 = 65,271.96/x
  3. Step 3: Cross multiply
    198,397.08x = 297,639.90 × 65,271.96
  4. Step 4: Simplify right side
    198,397.08x = 19,427,539,647.20
  5. Step 5: Solve for x
    x = 19,427,539,647.20/198,397.08
  6. Step 6: Final answer
    x = 97,922.51

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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.