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Finding the Fourth Proportional to 70,648.48, 105,999.90 and 31,177.72

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Solution

The fourth proportional to 70,648.48, 105,999.90 and 31,177.72 is: 46,778.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,648.48 : 105,999.90 = 31,177.72 : x
  2. Step 2: Convert to fraction form
    70,648.48/105,999.90 = 31,177.72/x
  3. Step 3: Cross multiply
    70,648.48x = 105,999.90 × 31,177.72
  4. Step 4: Simplify right side
    70,648.48x = 3,304,835,202.23
  5. Step 5: Solve for x
    x = 3,304,835,202.23/70,648.48
  6. Step 6: Final answer
    x = 46,778.57

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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.