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Finding the Fourth Proportional to 213,317.68, 319,976.54 and 55,545.68

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Solution

The fourth proportional to 213,317.68, 319,976.54 and 55,545.68 is: 83,318.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,317.68 : 319,976.54 = 55,545.68 : x
  2. Step 2: Convert to fraction form
    213,317.68/319,976.54 = 55,545.68/x
  3. Step 3: Cross multiply
    213,317.68x = 319,976.54 × 55,545.68
  4. Step 4: Simplify right side
    213,317.68x = 17,773,314,498.35
  5. Step 5: Solve for x
    x = 17,773,314,498.35/213,317.68
  6. Step 6: Final answer
    x = 83,318.53

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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.