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Finding the Fourth Proportional to 114,669, 172,009.98 and 40,797

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Solution

The fourth proportional to 114,669, 172,009.98 and 40,797 is: 61,197.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,669 : 172,009.98 = 40,797 : x
  2. Step 2: Convert to fraction form
    114,669/172,009.98 = 40,797/x
  3. Step 3: Cross multiply
    114,669x = 172,009.98 × 40,797
  4. Step 4: Simplify right side
    114,669x = 7,017,491,154.06
  5. Step 5: Solve for x
    x = 7,017,491,154.06/114,669
  6. Step 6: Final answer
    x = 61,197.81

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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.