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Finding the Fourth Proportional to 208,089, 312,059.70 and 74,933.52

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Solution

The fourth proportional to 208,089, 312,059.70 and 74,933.52 is: 112,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,089 : 312,059.70 = 74,933.52 : x
  2. Step 2: Convert to fraction form
    208,089/312,059.70 = 74,933.52/x
  3. Step 3: Cross multiply
    208,089x = 312,059.70 × 74,933.52
  4. Step 4: Simplify right side
    208,089x = 23,383,731,771.14
  5. Step 5: Solve for x
    x = 23,383,731,771.14/208,089
  6. Step 6: Final answer
    x = 112,373.70

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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.