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Finding the Fourth Proportional to 70,138.69, 105,207.86 and 57,777.01

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Solution

The fourth proportional to 70,138.69, 105,207.86 and 57,777.01 is: 86,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,138.69 : 105,207.86 = 57,777.01 : x
  2. Step 2: Convert to fraction form
    70,138.69/105,207.86 = 57,777.01/x
  3. Step 3: Cross multiply
    70,138.69x = 105,207.86 × 57,777.01
  4. Step 4: Simplify right side
    70,138.69x = 6,078,595,290.41
  5. Step 5: Solve for x
    x = 6,078,595,290.41/70,138.69
  6. Step 6: Final answer
    x = 86,665.37

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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.