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Finding the Fourth Proportional to 121,774, 182,715.72 and 77,389.24

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Solution

The fourth proportional to 121,774, 182,715.72 and 77,389.24 is: 116,118.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,774 : 182,715.72 = 77,389.24 : x
  2. Step 2: Convert to fraction form
    121,774/182,715.72 = 77,389.24/x
  3. Step 3: Cross multiply
    121,774x = 182,715.72 × 77,389.24
  4. Step 4: Simplify right side
    121,774x = 14,140,230,706.85
  5. Step 5: Solve for x
    x = 14,140,230,706.85/121,774
  6. Step 6: Final answer
    x = 116,118.64

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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.