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Finding the Fourth Proportional to 114,927.30, 172,390.95 and 31,821.30

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Solution

The fourth proportional to 114,927.30, 172,390.95 and 31,821.30 is: 47,731.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,927.30 : 172,390.95 = 31,821.30 : x
  2. Step 2: Convert to fraction form
    114,927.30/172,390.95 = 31,821.30/x
  3. Step 3: Cross multiply
    114,927.30x = 172,390.95 × 31,821.30
  4. Step 4: Simplify right side
    114,927.30x = 5,485,704,137.24
  5. Step 5: Solve for x
    x = 5,485,704,137.24/114,927.30
  6. Step 6: Final answer
    x = 47,731.95

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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.