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Finding the Fourth Proportional to 114,709, 172,063.50 and 31,603

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Solution

The fourth proportional to 114,709, 172,063.50 and 31,603 is: 47,404.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,709 : 172,063.50 = 31,603 : x
  2. Step 2: Convert to fraction form
    114,709/172,063.50 = 31,603/x
  3. Step 3: Cross multiply
    114,709x = 172,063.50 × 31,603
  4. Step 4: Simplify right side
    114,709x = 5,437,722,790.50
  5. Step 5: Solve for x
    x = 5,437,722,790.50/114,709
  6. Step 6: Final answer
    x = 47,404.50

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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.