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Finding the Fourth Proportional to 186,512.61, 279,569.69 and 106,378.03

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Solution

The fourth proportional to 186,512.61, 279,569.69 and 106,378.03 is: 159,453.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,512.61 : 279,569.69 = 106,378.03 : x
  2. Step 2: Convert to fraction form
    186,512.61/279,569.69 = 106,378.03/x
  3. Step 3: Cross multiply
    186,512.61x = 279,569.69 × 106,378.03
  4. Step 4: Simplify right side
    186,512.61x = 29,740,071,472.06
  5. Step 5: Solve for x
    x = 29,740,071,472.06/186,512.61
  6. Step 6: Final answer
    x = 159,453.41

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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.