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Finding the Fourth Proportional to 215,597.68, 297,485.32 and 120,102

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Solution

The fourth proportional to 215,597.68, 297,485.32 and 120,102 is: 165,718.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,597.68 : 297,485.32 = 120,102 : x
  2. Step 2: Convert to fraction form
    215,597.68/297,485.32 = 120,102/x
  3. Step 3: Cross multiply
    215,597.68x = 297,485.32 × 120,102
  4. Step 4: Simplify right side
    215,597.68x = 35,728,581,902.64
  5. Step 5: Solve for x
    x = 35,728,581,902.64/215,597.68
  6. Step 6: Final answer
    x = 165,718.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.