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Finding the Fourth Proportional to 213,965.54, 320,998.96 and 69,870.64

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Solution

The fourth proportional to 213,965.54, 320,998.96 and 69,870.64 is: 104,822.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,965.54 : 320,998.96 = 69,870.64 : x
  2. Step 2: Convert to fraction form
    213,965.54/320,998.96 = 69,870.64/x
  3. Step 3: Cross multiply
    213,965.54x = 320,998.96 × 69,870.64
  4. Step 4: Simplify right side
    213,965.54x = 22,428,402,774.53
  5. Step 5: Solve for x
    x = 22,428,402,774.53/213,965.54
  6. Step 6: Final answer
    x = 104,822.50

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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.