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Finding the Fourth Proportional to 75,138, 103,690.44 and 41,606.16

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Solution

The fourth proportional to 75,138, 103,690.44 and 41,606.16 is: 57,416.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,138 : 103,690.44 = 41,606.16 : x
  2. Step 2: Convert to fraction form
    75,138/103,690.44 = 41,606.16/x
  3. Step 3: Cross multiply
    75,138x = 103,690.44 × 41,606.16
  4. Step 4: Simplify right side
    75,138x = 4,314,161,037.11
  5. Step 5: Solve for x
    x = 4,314,161,037.11/75,138
  6. Step 6: Final answer
    x = 57,416.50

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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.