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Finding the Fourth Proportional to 106,428.70, 159,643.05 and 87,401.80

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Solution

The fourth proportional to 106,428.70, 159,643.05 and 87,401.80 is: 131,102.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,428.70 : 159,643.05 = 87,401.80 : x
  2. Step 2: Convert to fraction form
    106,428.70/159,643.05 = 87,401.80/x
  3. Step 3: Cross multiply
    106,428.70x = 159,643.05 × 87,401.80
  4. Step 4: Simplify right side
    106,428.70x = 13,953,089,927.49
  5. Step 5: Solve for x
    x = 13,953,089,927.49/106,428.70
  6. Step 6: Final answer
    x = 131,102.70

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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.