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Finding the Fourth Proportional to 189,405.51, 284,024.65 and 70,993.82

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Solution

The fourth proportional to 189,405.51, 284,024.65 and 70,993.82 is: 106,459.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,405.51 : 284,024.65 = 70,993.82 : x
  2. Step 2: Convert to fraction form
    189,405.51/284,024.65 = 70,993.82/x
  3. Step 3: Cross multiply
    189,405.51x = 284,024.65 × 70,993.82
  4. Step 4: Simplify right side
    189,405.51x = 20,163,994,145.38
  5. Step 5: Solve for x
    x = 20,163,994,145.38/189,405.51
  6. Step 6: Final answer
    x = 106,459.38

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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.