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Finding the Fourth Proportional to 114,985, 172,477.50 and 31,879

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Solution

The fourth proportional to 114,985, 172,477.50 and 31,879 is: 47,818.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,985 : 172,477.50 = 31,879 : x
  2. Step 2: Convert to fraction form
    114,985/172,477.50 = 31,879/x
  3. Step 3: Cross multiply
    114,985x = 172,477.50 × 31,879
  4. Step 4: Simplify right side
    114,985x = 5,498,410,222.50
  5. Step 5: Solve for x
    x = 5,498,410,222.50/114,985
  6. Step 6: Final answer
    x = 47,818.50

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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.