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Finding the Fourth Proportional to 213,013.68, 319,465.68 and 63,218.52

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Solution

The fourth proportional to 213,013.68, 319,465.68 and 63,218.52 is: 94,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,013.68 : 319,465.68 = 63,218.52 : x
  2. Step 2: Convert to fraction form
    213,013.68/319,465.68 = 63,218.52/x
  3. Step 3: Cross multiply
    213,013.68x = 319,465.68 × 63,218.52
  4. Step 4: Simplify right side
    213,013.68x = 20,196,147,480.39
  5. Step 5: Solve for x
    x = 20,196,147,480.39/213,013.68
  6. Step 6: Final answer
    x = 94,811.50

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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.