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Finding the Fourth Proportional to 213,053.82, 319,624.48 and 63,280.77

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Solution

The fourth proportional to 213,053.82, 319,624.48 and 63,280.77 is: 94,934.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,053.82 : 319,624.48 = 63,280.77 : x
  2. Step 2: Convert to fraction form
    213,053.82/319,624.48 = 63,280.77/x
  3. Step 3: Cross multiply
    213,053.82x = 319,624.48 × 63,280.77
  4. Step 4: Simplify right side
    213,053.82x = 20,226,083,205.25
  5. Step 5: Solve for x
    x = 20,226,083,205.25/213,053.82
  6. Step 6: Final answer
    x = 94,934.15

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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.