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Finding the Fourth Proportional to 208,518.34, 312,777.54 and 50,746.79

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Solution

The fourth proportional to 208,518.34, 312,777.54 and 50,746.79 is: 76,120.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,518.34 : 312,777.54 = 50,746.79 : x
  2. Step 2: Convert to fraction form
    208,518.34/312,777.54 = 50,746.79/x
  3. Step 3: Cross multiply
    208,518.34x = 312,777.54 × 50,746.79
  4. Step 4: Simplify right side
    208,518.34x = 15,872,455,103.42
  5. Step 5: Solve for x
    x = 15,872,455,103.42/208,518.34
  6. Step 6: Final answer
    x = 76,120.19

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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.