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Finding the Fourth Proportional to 213,783.84, 320,934.96 and 100,040.40

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Solution

The fourth proportional to 213,783.84, 320,934.96 and 100,040.40 is: 150,181.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,783.84 : 320,934.96 = 100,040.40 : x
  2. Step 2: Convert to fraction form
    213,783.84/320,934.96 = 100,040.40/x
  3. Step 3: Cross multiply
    213,783.84x = 320,934.96 × 100,040.40
  4. Step 4: Simplify right side
    213,783.84x = 32,106,461,772.38
  5. Step 5: Solve for x
    x = 32,106,461,772.38/213,783.84
  6. Step 6: Final answer
    x = 150,181.89

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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.