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Finding the Fourth Proportional to 208,598.85, 312,922.58 and 75,541.77

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Solution

The fourth proportional to 208,598.85, 312,922.58 and 75,541.77 is: 113,321.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,598.85 : 312,922.58 = 75,541.77 : x
  2. Step 2: Convert to fraction form
    208,598.85/312,922.58 = 75,541.77/x
  3. Step 3: Cross multiply
    208,598.85x = 312,922.58 × 75,541.77
  4. Step 4: Simplify right side
    208,598.85x = 23,638,725,188.46
  5. Step 5: Solve for x
    x = 23,638,725,188.46/208,598.85
  6. Step 6: Final answer
    x = 113,321.45

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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.