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Finding the Fourth Proportional to 189,011.08, 283,464.78 and 70,643.08

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Solution

The fourth proportional to 189,011.08, 283,464.78 and 70,643.08 is: 105,945.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,011.08 : 283,464.78 = 70,643.08 : x
  2. Step 2: Convert to fraction form
    189,011.08/283,464.78 = 70,643.08/x
  3. Step 3: Cross multiply
    189,011.08x = 283,464.78 × 70,643.08
  4. Step 4: Simplify right side
    189,011.08x = 20,024,825,130.72
  5. Step 5: Solve for x
    x = 20,024,825,130.72/189,011.08
  6. Step 6: Final answer
    x = 105,945.24

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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.