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Finding the Fourth Proportional to 101,740.64, 140,394.48 and 57,020

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Solution

The fourth proportional to 101,740.64, 140,394.48 and 57,020 is: 78,683.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,740.64 : 140,394.48 = 57,020 : x
  2. Step 2: Convert to fraction form
    101,740.64/140,394.48 = 57,020/x
  3. Step 3: Cross multiply
    101,740.64x = 140,394.48 × 57,020
  4. Step 4: Simplify right side
    101,740.64x = 8,005,293,249.60
  5. Step 5: Solve for x
    x = 8,005,293,249.60/101,740.64
  6. Step 6: Final answer
    x = 78,683.34

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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.