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Finding the Fourth Proportional to 114,541.80, 171,812.70 and 31,435.80

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Solution

The fourth proportional to 114,541.80, 171,812.70 and 31,435.80 is: 47,153.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,541.80 : 171,812.70 = 31,435.80 : x
  2. Step 2: Convert to fraction form
    114,541.80/171,812.70 = 31,435.80/x
  3. Step 3: Cross multiply
    114,541.80x = 171,812.70 × 31,435.80
  4. Step 4: Simplify right side
    114,541.80x = 5,401,069,674.66
  5. Step 5: Solve for x
    x = 5,401,069,674.66/114,541.80
  6. Step 6: Final answer
    x = 47,153.70

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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.