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Finding the Fourth Proportional to 142,851, 214,260.03 and 57,458.64

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Solution

The fourth proportional to 142,851, 214,260.03 and 57,458.64 is: 86,181.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,851 : 214,260.03 = 57,458.64 : x
  2. Step 2: Convert to fraction form
    142,851/214,260.03 = 57,458.64/x
  3. Step 3: Cross multiply
    142,851x = 214,260.03 × 57,458.64
  4. Step 4: Simplify right side
    142,851x = 12,311,089,930.16
  5. Step 5: Solve for x
    x = 12,311,089,930.16/142,851
  6. Step 6: Final answer
    x = 86,181.34

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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.