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Finding the Fourth Proportional to 102,114.81, 140,917.18 and 57,402.81

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Solution

The fourth proportional to 102,114.81, 140,917.18 and 57,402.81 is: 79,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,114.81 : 140,917.18 = 57,402.81 : x
  2. Step 2: Convert to fraction form
    102,114.81/140,917.18 = 57,402.81/x
  3. Step 3: Cross multiply
    102,114.81x = 140,917.18 × 57,402.81
  4. Step 4: Simplify right side
    102,114.81x = 8,089,042,109.28
  5. Step 5: Solve for x
    x = 8,089,042,109.28/102,114.81
  6. Step 6: Final answer
    x = 79,215.17

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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.