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Finding the Fourth Proportional to 213,919.76, 320,656.98 and 71,657.84

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Solution

The fourth proportional to 213,919.76, 320,656.98 and 71,657.84 is: 107,412.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,919.76 : 320,656.98 = 71,657.84 : x
  2. Step 2: Convert to fraction form
    213,919.76/320,656.98 = 71,657.84/x
  3. Step 3: Cross multiply
    213,919.76x = 320,656.98 × 71,657.84
  4. Step 4: Simplify right side
    213,919.76x = 22,977,586,567.72
  5. Step 5: Solve for x
    x = 22,977,586,567.72/213,919.76
  6. Step 6: Final answer
    x = 107,412.17

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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.