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Finding the Fourth Proportional to 189,275.60, 283,322.76 and 139,412

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Solution

The fourth proportional to 189,275.60, 283,322.76 and 139,412 is: 208,682.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,275.60 : 283,322.76 = 139,412 : x
  2. Step 2: Convert to fraction form
    189,275.60/283,322.76 = 139,412/x
  3. Step 3: Cross multiply
    189,275.60x = 283,322.76 × 139,412
  4. Step 4: Simplify right side
    189,275.60x = 39,498,592,617.12
  5. Step 5: Solve for x
    x = 39,498,592,617.12/189,275.60
  6. Step 6: Final answer
    x = 208,682.96

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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.