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Finding the Fourth Proportional to 209,952, 289,745.28 and 120,533.76

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Solution

The fourth proportional to 209,952, 289,745.28 and 120,533.76 is: 166,343.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,952 : 289,745.28 = 120,533.76 : x
  2. Step 2: Convert to fraction form
    209,952/289,745.28 = 120,533.76/x
  3. Step 3: Cross multiply
    209,952x = 289,745.28 × 120,533.76
  4. Step 4: Simplify right side
    209,952x = 34,924,088,040.65
  5. Step 5: Solve for x
    x = 34,924,088,040.65/209,952
  6. Step 6: Final answer
    x = 166,343.20

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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.