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Finding the Fourth Proportional to 188,711.91, 283,058.64 and 70,374.06

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Solution

The fourth proportional to 188,711.91, 283,058.64 and 70,374.06 is: 105,557.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,711.91 : 283,058.64 = 70,374.06 : x
  2. Step 2: Convert to fraction form
    188,711.91/283,058.64 = 70,374.06/x
  3. Step 3: Cross multiply
    188,711.91x = 283,058.64 × 70,374.06
  4. Step 4: Simplify right side
    188,711.91x = 19,919,985,714.88
  5. Step 5: Solve for x
    x = 19,919,985,714.88/188,711.91
  6. Step 6: Final answer
    x = 105,557.65

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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.