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Finding the Fourth Proportional to 189,206.16, 283,838.40 and 64,518

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Solution

The fourth proportional to 189,206.16, 283,838.40 and 64,518 is: 96,786.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,206.16 : 283,838.40 = 64,518 : x
  2. Step 2: Convert to fraction form
    189,206.16/283,838.40 = 64,518/x
  3. Step 3: Cross multiply
    189,206.16x = 283,838.40 × 64,518
  4. Step 4: Simplify right side
    189,206.16x = 18,312,685,891.20
  5. Step 5: Solve for x
    x = 18,312,685,891.20/189,206.16
  6. Step 6: Final answer
    x = 96,786.94

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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.