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Finding the Fourth Proportional to 212,912.10, 319,222.35 and 100,646.10

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Solution

The fourth proportional to 212,912.10, 319,222.35 and 100,646.10 is: 150,900.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,912.10 : 319,222.35 = 100,646.10 : x
  2. Step 2: Convert to fraction form
    212,912.10/319,222.35 = 100,646.10/x
  3. Step 3: Cross multiply
    212,912.10x = 319,222.35 × 100,646.10
  4. Step 4: Simplify right side
    212,912.10x = 32,128,484,560.34
  5. Step 5: Solve for x
    x = 32,128,484,560.34/212,912.10
  6. Step 6: Final answer
    x = 150,900.23

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1.5x scale

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.