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Finding the Fourth Proportional to 114,039, 157,378.68 and 63,738

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Solution

The fourth proportional to 114,039, 157,378.68 and 63,738 is: 87,961.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,039 : 157,378.68 = 63,738 : x
  2. Step 2: Convert to fraction form
    114,039/157,378.68 = 63,738/x
  3. Step 3: Cross multiply
    114,039x = 157,378.68 × 63,738
  4. Step 4: Simplify right side
    114,039x = 10,031,002,305.84
  5. Step 5: Solve for x
    x = 10,031,002,305.84/114,039
  6. Step 6: Final answer
    x = 87,961.16

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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.