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Finding the Fourth Proportional to 208,590.66, 312,700.35 and 75,441.34

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Solution

The fourth proportional to 208,590.66, 312,700.35 and 75,441.34 is: 113,094.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,590.66 : 312,700.35 = 75,441.34 : x
  2. Step 2: Convert to fraction form
    208,590.66/312,700.35 = 75,441.34/x
  3. Step 3: Cross multiply
    208,590.66x = 312,700.35 × 75,441.34
  4. Step 4: Simplify right side
    208,590.66x = 23,590,533,671.89
  5. Step 5: Solve for x
    x = 23,590,533,671.89/208,590.66
  6. Step 6: Final answer
    x = 113,094.87

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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.