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Finding the Fourth Proportional to 114,486.66, 171,728.10 and 31,380.66

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Solution

The fourth proportional to 114,486.66, 171,728.10 and 31,380.66 is: 47,070.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,486.66 : 171,728.10 = 31,380.66 : x
  2. Step 2: Convert to fraction form
    114,486.66/171,728.10 = 31,380.66/x
  3. Step 3: Cross multiply
    114,486.66x = 171,728.10 × 31,380.66
  4. Step 4: Simplify right side
    114,486.66x = 5,388,941,118.55
  5. Step 5: Solve for x
    x = 5,388,941,118.55/114,486.66
  6. Step 6: Final answer
    x = 47,070.47

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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.