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Finding the Fourth Proportional to 114,992.42, 158,762.45 and 78,754.64

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Solution

The fourth proportional to 114,992.42, 158,762.45 and 78,754.64 is: 108,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,992.42 : 158,762.45 = 78,754.64 : x
  2. Step 2: Convert to fraction form
    114,992.42/158,762.45 = 78,754.64/x
  3. Step 3: Cross multiply
    114,992.42x = 158,762.45 × 78,754.64
  4. Step 4: Simplify right side
    114,992.42x = 12,503,279,595.27
  5. Step 5: Solve for x
    x = 12,503,279,595.27/114,992.42
  6. Step 6: Final answer
    x = 108,731.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.