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Finding the Fourth Proportional to 208,585.22, 312,970.84 and 96,205

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Solution

The fourth proportional to 208,585.22, 312,970.84 and 96,205 is: 144,350.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,585.22 : 312,970.84 = 96,205 : x
  2. Step 2: Convert to fraction form
    208,585.22/312,970.84 = 96,205/x
  3. Step 3: Cross multiply
    208,585.22x = 312,970.84 × 96,205
  4. Step 4: Simplify right side
    208,585.22x = 30,109,359,662.20
  5. Step 5: Solve for x
    x = 30,109,359,662.20/208,585.22
  6. Step 6: Final answer
    x = 144,350.40

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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.