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Finding the Fourth Proportional to 208,555.77, 312,911.84 and 96,289.77

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Solution

The fourth proportional to 208,555.77, 312,911.84 and 96,289.77 is: 144,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,555.77 : 312,911.84 = 96,289.77 : x
  2. Step 2: Convert to fraction form
    208,555.77/312,911.84 = 96,289.77/x
  3. Step 3: Cross multiply
    208,555.77x = 312,911.84 × 96,289.77
  4. Step 4: Simplify right side
    208,555.77x = 30,130,209,103.88
  5. Step 5: Solve for x
    x = 30,130,209,103.88/208,555.77
  6. Step 6: Final answer
    x = 144,470.75

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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.