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Finding the Fourth Proportional to 55,875, 83,794.69 and 18,428.07

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Solution

The fourth proportional to 55,875, 83,794.69 and 18,428.07 is: 27,636.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,875 : 83,794.69 = 18,428.07 : x
  2. Step 2: Convert to fraction form
    55,875/83,794.69 = 18,428.07/x
  3. Step 3: Cross multiply
    55,875x = 83,794.69 × 18,428.07
  4. Step 4: Simplify right side
    55,875x = 1,544,174,412.95
  5. Step 5: Solve for x
    x = 1,544,174,412.95/55,875
  6. Step 6: Final answer
    x = 27,636.23

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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.