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Finding the Fourth Proportional to 55,785.78, 83,641.51 and 20,242.51

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Solution

The fourth proportional to 55,785.78, 83,641.51 and 20,242.51 is: 30,350.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,785.78 : 83,641.51 = 20,242.51 : x
  2. Step 2: Convert to fraction form
    55,785.78/83,641.51 = 20,242.51/x
  3. Step 3: Cross multiply
    55,785.78x = 83,641.51 × 20,242.51
  4. Step 4: Simplify right side
    55,785.78x = 1,693,113,918.79
  5. Step 5: Solve for x
    x = 1,693,113,918.79/55,785.78
  6. Step 6: Final answer
    x = 30,350.28

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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.