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Finding the Fourth Proportional to 105,187.90, 157,780.71 and 84,028.67

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Solution

The fourth proportional to 105,187.90, 157,780.71 and 84,028.67 is: 126,042.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,187.90 : 157,780.71 = 84,028.67 : x
  2. Step 2: Convert to fraction form
    105,187.90/157,780.71 = 84,028.67/x
  3. Step 3: Cross multiply
    105,187.90x = 157,780.71 × 84,028.67
  4. Step 4: Simplify right side
    105,187.90x = 13,258,103,903.25
  5. Step 5: Solve for x
    x = 13,258,103,903.25/105,187.90
  6. Step 6: Final answer
    x = 126,042.10

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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.