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Finding the Fourth Proportional to 213,058.67, 319,710.11 and 86,675.58

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Solution

The fourth proportional to 213,058.67, 319,710.11 and 86,675.58 is: 130,063.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,058.67 : 319,710.11 = 86,675.58 : x
  2. Step 2: Convert to fraction form
    213,058.67/319,710.11 = 86,675.58/x
  3. Step 3: Cross multiply
    213,058.67x = 319,710.11 × 86,675.58
  4. Step 4: Simplify right side
    213,058.67x = 27,711,058,782.74
  5. Step 5: Solve for x
    x = 27,711,058,782.74/213,058.67
  6. Step 6: Final answer
    x = 130,063.05

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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.