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Finding the Fourth Proportional to 188,730, 283,138.74 and 64,071

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Solution

The fourth proportional to 188,730, 283,138.74 and 64,071 is: 96,121.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,730 : 283,138.74 = 64,071 : x
  2. Step 2: Convert to fraction form
    188,730/283,138.74 = 64,071/x
  3. Step 3: Cross multiply
    188,730x = 283,138.74 × 64,071
  4. Step 4: Simplify right side
    188,730x = 18,140,982,210.54
  5. Step 5: Solve for x
    x = 18,140,982,210.54/188,730
  6. Step 6: Final answer
    x = 96,121.35

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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.