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Finding the Fourth Proportional to 154,449, 213,143.18 and 86,464.26

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Solution

The fourth proportional to 154,449, 213,143.18 and 86,464.26 is: 119,322.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,449 : 213,143.18 = 86,464.26 : x
  2. Step 2: Convert to fraction form
    154,449/213,143.18 = 86,464.26/x
  3. Step 3: Cross multiply
    154,449x = 213,143.18 × 86,464.26
  4. Step 4: Simplify right side
    154,449x = 18,429,266,900.43
  5. Step 5: Solve for x
    x = 18,429,266,900.43/154,449
  6. Step 6: Final answer
    x = 119,322.67

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1.5x scale

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.