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Finding the Fourth Proportional to 102,115.81, 140,918.56 and 57,403.81

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Solution

The fourth proportional to 102,115.81, 140,918.56 and 57,403.81 is: 79,216.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,115.81 : 140,918.56 = 57,403.81 : x
  2. Step 2: Convert to fraction form
    102,115.81/140,918.56 = 57,403.81/x
  3. Step 3: Cross multiply
    102,115.81x = 140,918.56 × 57,403.81
  4. Step 4: Simplify right side
    102,115.81x = 8,089,262,243.71
  5. Step 5: Solve for x
    x = 8,089,262,243.71/102,115.81
  6. Step 6: Final answer
    x = 79,216.55

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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.