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Finding the Fourth Proportional to 114,692, 172,044.48 and 40,820

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Solution

The fourth proportional to 114,692, 172,044.48 and 40,820 is: 61,232.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,692 : 172,044.48 = 40,820 : x
  2. Step 2: Convert to fraction form
    114,692/172,044.48 = 40,820/x
  3. Step 3: Cross multiply
    114,692x = 172,044.48 × 40,820
  4. Step 4: Simplify right side
    114,692x = 7,022,855,673.60
  5. Step 5: Solve for x
    x = 7,022,855,673.60/114,692
  6. Step 6: Final answer
    x = 61,232.31

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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.