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Finding the Fourth Proportional to 186,870.78, 257,842.26 and 118,863

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Solution

The fourth proportional to 186,870.78, 257,842.26 and 118,863 is: 164,005.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,870.78 : 257,842.26 = 118,863 : x
  2. Step 2: Convert to fraction form
    186,870.78/257,842.26 = 118,863/x
  3. Step 3: Cross multiply
    186,870.78x = 257,842.26 × 118,863
  4. Step 4: Simplify right side
    186,870.78x = 30,647,904,550.38
  5. Step 5: Solve for x
    x = 30,647,904,550.38/186,870.78
  6. Step 6: Final answer
    x = 164,005.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.