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Finding the Fourth Proportional to 198,079.96, 297,148.16 and 64,970.60

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Solution

The fourth proportional to 198,079.96, 297,148.16 and 64,970.60 is: 97,465.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,079.96 : 297,148.16 = 64,970.60 : x
  2. Step 2: Convert to fraction form
    198,079.96/297,148.16 = 64,970.60/x
  3. Step 3: Cross multiply
    198,079.96x = 297,148.16 × 64,970.60
  4. Step 4: Simplify right side
    198,079.96x = 19,305,894,244.10
  5. Step 5: Solve for x
    x = 19,305,894,244.10/198,079.96
  6. Step 6: Final answer
    x = 97,465.16

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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.