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Finding the Fourth Proportional to 213,257.93, 319,779.88 and 71,053.18

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Solution

The fourth proportional to 213,257.93, 319,779.88 and 71,053.18 is: 106,544.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,257.93 : 319,779.88 = 71,053.18 : x
  2. Step 2: Convert to fraction form
    213,257.93/319,779.88 = 71,053.18/x
  3. Step 3: Cross multiply
    213,257.93x = 319,779.88 × 71,053.18
  4. Step 4: Simplify right side
    213,257.93x = 22,721,376,396.94
  5. Step 5: Solve for x
    x = 22,721,376,396.94/213,257.93
  6. Step 6: Final answer
    x = 106,544.11

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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.