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Finding the Fourth Proportional to 198,285.34, 297,364.93 and 65,134.71

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Solution

The fourth proportional to 198,285.34, 297,364.93 and 65,134.71 is: 97,681.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,285.34 : 297,364.93 = 65,134.71 : x
  2. Step 2: Convert to fraction form
    198,285.34/297,364.93 = 65,134.71/x
  3. Step 3: Cross multiply
    198,285.34x = 297,364.93 × 65,134.71
  4. Step 4: Simplify right side
    198,285.34x = 19,368,778,479.72
  5. Step 5: Solve for x
    x = 19,368,778,479.72/198,285.34
  6. Step 6: Final answer
    x = 97,681.34

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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.