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Finding the Fourth Proportional to 213,054.68, 319,582.02 and 72,814.52

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Solution

The fourth proportional to 213,054.68, 319,582.02 and 72,814.52 is: 109,221.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,054.68 : 319,582.02 = 72,814.52 : x
  2. Step 2: Convert to fraction form
    213,054.68/319,582.02 = 72,814.52/x
  3. Step 3: Cross multiply
    213,054.68x = 319,582.02 × 72,814.52
  4. Step 4: Simplify right side
    213,054.68x = 23,270,211,386.93
  5. Step 5: Solve for x
    x = 23,270,211,386.93/213,054.68
  6. Step 6: Final answer
    x = 109,221.78

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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.