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Finding the Fourth Proportional to 188,807.82, 283,044.06 and 70,398.78

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Solution

The fourth proportional to 188,807.82, 283,044.06 and 70,398.78 is: 105,535.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,807.82 : 283,044.06 = 70,398.78 : x
  2. Step 2: Convert to fraction form
    188,807.82/283,044.06 = 70,398.78/x
  3. Step 3: Cross multiply
    188,807.82x = 283,044.06 × 70,398.78
  4. Step 4: Simplify right side
    188,807.82x = 19,925,956,510.25
  5. Step 5: Solve for x
    x = 19,925,956,510.25/188,807.82
  6. Step 6: Final answer
    x = 105,535.65

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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.