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Finding the Fourth Proportional to 213,098.67, 319,564.47 and 79,906.32

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Solution

The fourth proportional to 213,098.67, 319,564.47 and 79,906.32 is: 119,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,098.67 : 319,564.47 = 79,906.32 : x
  2. Step 2: Convert to fraction form
    213,098.67/319,564.47 = 79,906.32/x
  3. Step 3: Cross multiply
    213,098.67x = 319,564.47 × 79,906.32
  4. Step 4: Simplify right side
    213,098.67x = 25,535,220,800.45
  5. Step 5: Solve for x
    x = 25,535,220,800.45/213,098.67
  6. Step 6: Final answer
    x = 119,828.16

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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.