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Finding the Fourth Proportional to 49,630, 68,492.64 and 30,779.68

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Solution

The fourth proportional to 49,630, 68,492.64 and 30,779.68 is: 42,477.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,630 : 68,492.64 = 30,779.68 : x
  2. Step 2: Convert to fraction form
    49,630/68,492.64 = 30,779.68/x
  3. Step 3: Cross multiply
    49,630x = 68,492.64 × 30,779.68
  4. Step 4: Simplify right side
    49,630x = 2,108,181,541.56
  5. Step 5: Solve for x
    x = 2,108,181,541.56/49,630
  6. Step 6: Final answer
    x = 42,477.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.