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Finding the Fourth Proportional to 208,518.46, 312,777.72 and 50,746.91

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Solution

The fourth proportional to 208,518.46, 312,777.72 and 50,746.91 is: 76,120.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.46 : 312,777.72 = 50,746.91 : x
  2. Step 2: Convert to fraction form
    208,518.46/312,777.72 = 50,746.91/x
  3. Step 3: Cross multiply
    208,518.46x = 312,777.72 × 50,746.91
  4. Step 4: Simplify right side
    208,518.46x = 15,872,502,806.85
  5. Step 5: Solve for x
    x = 15,872,502,806.85/208,518.46
  6. Step 6: Final answer
    x = 76,120.37

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1.5x scale

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.