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Finding the Fourth Proportional to 213,158.99, 319,669.23 and 70,966.06

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Solution

The fourth proportional to 213,158.99, 319,669.23 and 70,966.06 is: 106,426.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,158.99 : 319,669.23 = 70,966.06 : x
  2. Step 2: Convert to fraction form
    213,158.99/319,669.23 = 70,966.06/x
  3. Step 3: Cross multiply
    213,158.99x = 319,669.23 × 70,966.06
  4. Step 4: Simplify right side
    213,158.99x = 22,685,665,756.33
  5. Step 5: Solve for x
    x = 22,685,665,756.33/213,158.99
  6. Step 6: Final answer
    x = 106,426.03

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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.