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Finding the Fourth Proportional to 198,431.71, 297,688.57 and 65,319.95

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Solution

The fourth proportional to 198,431.71, 297,688.57 and 65,319.95 is: 97,993.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,431.71 : 297,688.57 = 65,319.95 : x
  2. Step 2: Convert to fraction form
    198,431.71/297,688.57 = 65,319.95/x
  3. Step 3: Cross multiply
    198,431.71x = 297,688.57 × 65,319.95
  4. Step 4: Simplify right side
    198,431.71x = 19,445,003,088.89
  5. Step 5: Solve for x
    x = 19,445,003,088.89/198,431.71
  6. Step 6: Final answer
    x = 97,993.43

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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.