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Finding the Fourth Proportional to 198,643.05, 297,973.76 and 65,534.94

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Solution

The fourth proportional to 198,643.05, 297,973.76 and 65,534.94 is: 98,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,643.05 : 297,973.76 = 65,534.94 : x
  2. Step 2: Convert to fraction form
    198,643.05/297,973.76 = 65,534.94/x
  3. Step 3: Cross multiply
    198,643.05x = 297,973.76 × 65,534.94
  4. Step 4: Simplify right side
    198,643.05x = 19,527,692,155.50
  5. Step 5: Solve for x
    x = 19,527,692,155.50/198,643.05
  6. Step 6: Final answer
    x = 98,305.44

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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.