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Finding the Fourth Proportional to 106,522.88, 159,632.06 and 78,220.90

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Solution

The fourth proportional to 106,522.88, 159,632.06 and 78,220.90 is: 117,219.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,522.88 : 159,632.06 = 78,220.90 : x
  2. Step 2: Convert to fraction form
    106,522.88/159,632.06 = 78,220.90/x
  3. Step 3: Cross multiply
    106,522.88x = 159,632.06 × 78,220.90
  4. Step 4: Simplify right side
    106,522.88x = 12,486,563,402.05
  5. Step 5: Solve for x
    x = 12,486,563,402.05/106,522.88
  6. Step 6: Final answer
    x = 117,219.54

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1.5x scale

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.