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Finding the Fourth Proportional to 114,846.40, 171,929.40 and 85,394.80

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Solution

The fourth proportional to 114,846.40, 171,929.40 and 85,394.80 is: 127,839.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,846.40 : 171,929.40 = 85,394.80 : x
  2. Step 2: Convert to fraction form
    114,846.40/171,929.40 = 85,394.80/x
  3. Step 3: Cross multiply
    114,846.40x = 171,929.40 × 85,394.80
  4. Step 4: Simplify right side
    114,846.40x = 14,681,876,727.12
  5. Step 5: Solve for x
    x = 14,681,876,727.12/114,846.40
  6. Step 6: Final answer
    x = 127,839.24

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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.