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Finding the Fourth Proportional to 186,940.72, 257,968.43 and 102,041.38

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Solution

The fourth proportional to 186,940.72, 257,968.43 and 102,041.38 is: 140,811.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,940.72 : 257,968.43 = 102,041.38 : x
  2. Step 2: Convert to fraction form
    186,940.72/257,968.43 = 102,041.38/x
  3. Step 3: Cross multiply
    186,940.72x = 257,968.43 × 102,041.38
  4. Step 4: Simplify right side
    186,940.72x = 26,323,454,593.63
  5. Step 5: Solve for x
    x = 26,323,454,593.63/186,940.72
  6. Step 6: Final answer
    x = 140,811.77

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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.