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Finding the Fourth Proportional to 68,971.93, 103,457.74 and 19,051.90

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Solution

The fourth proportional to 68,971.93, 103,457.74 and 19,051.90 is: 28,577.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,971.93 : 103,457.74 = 19,051.90 : x
  2. Step 2: Convert to fraction form
    68,971.93/103,457.74 = 19,051.90/x
  3. Step 3: Cross multiply
    68,971.93x = 103,457.74 × 19,051.90
  4. Step 4: Simplify right side
    68,971.93x = 1,971,066,516.71
  5. Step 5: Solve for x
    x = 1,971,066,516.71/68,971.93
  6. Step 6: Final answer
    x = 28,577.81

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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.