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Finding the Fourth Proportional to 105,014.80, 157,467.80 and 31,133.20

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Solution

The fourth proportional to 105,014.80, 157,467.80 and 31,133.20 is: 46,683.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,014.80 : 157,467.80 = 31,133.20 : x
  2. Step 2: Convert to fraction form
    105,014.80/157,467.80 = 31,133.20/x
  3. Step 3: Cross multiply
    105,014.80x = 157,467.80 × 31,133.20
  4. Step 4: Simplify right side
    105,014.80x = 4,902,476,510.96
  5. Step 5: Solve for x
    x = 4,902,476,510.96/105,014.80
  6. Step 6: Final answer
    x = 46,683.67

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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.