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Finding the Fourth Proportional to 208,295.32, 312,378.38 and 75,158.28

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Solution

The fourth proportional to 208,295.32, 312,378.38 and 75,158.28 is: 112,714.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,295.32 : 312,378.38 = 75,158.28 : x
  2. Step 2: Convert to fraction form
    208,295.32/312,378.38 = 75,158.28/x
  3. Step 3: Cross multiply
    208,295.32x = 312,378.38 × 75,158.28
  4. Step 4: Simplify right side
    208,295.32x = 23,477,821,749.99
  5. Step 5: Solve for x
    x = 23,477,821,749.99/208,295.32
  6. Step 6: Final answer
    x = 112,714.11

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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.