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Finding the Fourth Proportional to 215,036.66, 322,559.42 and 78,255.08

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Solution

The fourth proportional to 215,036.66, 322,559.42 and 78,255.08 is: 117,384.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,036.66 : 322,559.42 = 78,255.08 : x
  2. Step 2: Convert to fraction form
    215,036.66/322,559.42 = 78,255.08/x
  3. Step 3: Cross multiply
    215,036.66x = 322,559.42 × 78,255.08
  4. Step 4: Simplify right side
    215,036.66x = 25,241,913,216.85
  5. Step 5: Solve for x
    x = 25,241,913,216.85/215,036.66
  6. Step 6: Final answer
    x = 117,384.23

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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.