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Finding the Fourth Proportional to 106,612.40, 159,571.42 and 78,521.40

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Solution

The fourth proportional to 106,612.40, 159,571.42 and 78,521.40 is: 117,526.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,612.40 : 159,571.42 = 78,521.40 : x
  2. Step 2: Convert to fraction form
    106,612.40/159,571.42 = 78,521.40/x
  3. Step 3: Cross multiply
    106,612.40x = 159,571.42 × 78,521.40
  4. Step 4: Simplify right side
    106,612.40x = 12,529,771,102.08
  5. Step 5: Solve for x
    x = 12,529,771,102.08/106,612.40
  6. Step 6: Final answer
    x = 117,526.39

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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.