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Finding the Fourth Proportional to 208,779, 312,911.96 and 96,303.20

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Solution

The fourth proportional to 208,779, 312,911.96 and 96,303.20 is: 144,336.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,779 : 312,911.96 = 96,303.20 : x
  2. Step 2: Convert to fraction form
    208,779/312,911.96 = 96,303.20/x
  3. Step 3: Cross multiply
    208,779x = 312,911.96 × 96,303.20
  4. Step 4: Simplify right side
    208,779x = 30,134,423,066.27
  5. Step 5: Solve for x
    x = 30,134,423,066.27/208,779
  6. Step 6: Final answer
    x = 144,336.47

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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.