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Finding the Fourth Proportional to 189,291.42, 283,854 and 70,879.72

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Solution

The fourth proportional to 189,291.42, 283,854 and 70,879.72 is: 106,288.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,291.42 : 283,854 = 70,879.72 : x
  2. Step 2: Convert to fraction form
    189,291.42/283,854 = 70,879.72/x
  3. Step 3: Cross multiply
    189,291.42x = 283,854 × 70,879.72
  4. Step 4: Simplify right side
    189,291.42x = 20,119,492,040.88
  5. Step 5: Solve for x
    x = 20,119,492,040.88/189,291.42
  6. Step 6: Final answer
    x = 106,288.45

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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.