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Finding the Fourth Proportional to 208,113.82, 312,214.48 and 67,970.86

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Solution

The fourth proportional to 208,113.82, 312,214.48 and 67,970.86 is: 101,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,113.82 : 312,214.48 = 67,970.86 : x
  2. Step 2: Convert to fraction form
    208,113.82/312,214.48 = 67,970.86/x
  3. Step 3: Cross multiply
    208,113.82x = 312,214.48 × 67,970.86
  4. Step 4: Simplify right side
    208,113.82x = 21,221,486,710.05
  5. Step 5: Solve for x
    x = 21,221,486,710.05/208,113.82
  6. Step 6: Final answer
    x = 101,970.58

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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.