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Finding the Fourth Proportional to 186,877.71, 280,316.55 and 106,859.54

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Solution

The fourth proportional to 186,877.71, 280,316.55 and 106,859.54 is: 160,289.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,877.71 : 280,316.55 = 106,859.54 : x
  2. Step 2: Convert to fraction form
    186,877.71/280,316.55 = 106,859.54/x
  3. Step 3: Cross multiply
    186,877.71x = 280,316.55 × 106,859.54
  4. Step 4: Simplify right side
    186,877.71x = 29,954,497,587.39
  5. Step 5: Solve for x
    x = 29,954,497,587.39/186,877.71
  6. Step 6: Final answer
    x = 160,289.30

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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.