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Finding the Fourth Proportional to 215,186.95, 322,798.49 and 65,428.54

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Solution

The fourth proportional to 215,186.95, 322,798.49 and 65,428.54 is: 98,148.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,186.95 : 322,798.49 = 65,428.54 : x
  2. Step 2: Convert to fraction form
    215,186.95/322,798.49 = 65,428.54/x
  3. Step 3: Cross multiply
    215,186.95x = 322,798.49 × 65,428.54
  4. Step 4: Simplify right side
    215,186.95x = 21,120,231,973.77
  5. Step 5: Solve for x
    x = 21,120,231,973.77/215,186.95
  6. Step 6: Final answer
    x = 98,148.30

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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.