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Finding the Fourth Proportional to 215,054.52, 320,766.99 and 186,752

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Solution

The fourth proportional to 215,054.52, 320,766.99 and 186,752 is: 278,552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,054.52 : 320,766.99 = 186,752 : x
  2. Step 2: Convert to fraction form
    215,054.52/320,766.99 = 186,752/x
  3. Step 3: Cross multiply
    215,054.52x = 320,766.99 × 186,752
  4. Step 4: Simplify right side
    215,054.52x = 59,903,876,916.48
  5. Step 5: Solve for x
    x = 59,903,876,916.48/215,054.52
  6. Step 6: Final answer
    x = 278,552.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.