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Finding the Fourth Proportional to 106,157.76, 159,264 and 76,206.72

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Solution

The fourth proportional to 106,157.76, 159,264 and 76,206.72 is: 114,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,157.76 : 159,264 = 76,206.72 : x
  2. Step 2: Convert to fraction form
    106,157.76/159,264 = 76,206.72/x
  3. Step 3: Cross multiply
    106,157.76x = 159,264 × 76,206.72
  4. Step 4: Simplify right side
    106,157.76x = 12,136,987,054.08
  5. Step 5: Solve for x
    x = 12,136,987,054.08/106,157.76
  6. Step 6: Final answer
    x = 114,329.72

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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.