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Finding the Fourth Proportional to 114,219.20, 171,328.80 and 31,113.20

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Solution

The fourth proportional to 114,219.20, 171,328.80 and 31,113.20 is: 46,669.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,219.20 : 171,328.80 = 31,113.20 : x
  2. Step 2: Convert to fraction form
    114,219.20/171,328.80 = 31,113.20/x
  3. Step 3: Cross multiply
    114,219.20x = 171,328.80 × 31,113.20
  4. Step 4: Simplify right side
    114,219.20x = 5,330,587,220.16
  5. Step 5: Solve for x
    x = 5,330,587,220.16/114,219.20
  6. Step 6: Final answer
    x = 46,669.80

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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.