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Finding the Fourth Proportional to 208,011.92, 312,017.64 and 67,770.32

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Solution

The fourth proportional to 208,011.92, 312,017.64 and 67,770.32 is: 101,655.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,011.92 : 312,017.64 = 67,770.32 : x
  2. Step 2: Convert to fraction form
    208,011.92/312,017.64 = 67,770.32/x
  3. Step 3: Cross multiply
    208,011.92x = 312,017.64 × 67,770.32
  4. Step 4: Simplify right side
    208,011.92x = 21,145,535,308.44
  5. Step 5: Solve for x
    x = 21,145,535,308.44/208,011.92
  6. Step 6: Final answer
    x = 101,655.40

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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.