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Finding the Fourth Proportional to 114,957, 172,435.50 and 31,851

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Solution

The fourth proportional to 114,957, 172,435.50 and 31,851 is: 47,776.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,957 : 172,435.50 = 31,851 : x
  2. Step 2: Convert to fraction form
    114,957/172,435.50 = 31,851/x
  3. Step 3: Cross multiply
    114,957x = 172,435.50 × 31,851
  4. Step 4: Simplify right side
    114,957x = 5,492,243,110.50
  5. Step 5: Solve for x
    x = 5,492,243,110.50/114,957
  6. Step 6: Final answer
    x = 47,776.50

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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.