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Finding the Fourth Proportional to 74,501.88, 102,814.86 and 40,969.08

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Solution

The fourth proportional to 74,501.88, 102,814.86 and 40,969.08 is: 56,538.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,501.88 : 102,814.86 = 40,969.08 : x
  2. Step 2: Convert to fraction form
    74,501.88/102,814.86 = 40,969.08/x
  3. Step 3: Cross multiply
    74,501.88x = 102,814.86 × 40,969.08
  4. Step 4: Simplify right side
    74,501.88x = 4,212,230,224.53
  5. Step 5: Solve for x
    x = 4,212,230,224.53/74,501.88
  6. Step 6: Final answer
    x = 56,538.58

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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.