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Finding the Fourth Proportional to 219,228.93, 302,521.64 and 123,722.64

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Solution

The fourth proportional to 219,228.93, 302,521.64 and 123,722.64 is: 170,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,228.93 : 302,521.64 = 123,722.64 : x
  2. Step 2: Convert to fraction form
    219,228.93/302,521.64 = 123,722.64/x
  3. Step 3: Cross multiply
    219,228.93x = 302,521.64 × 123,722.64
  4. Step 4: Simplify right side
    219,228.93x = 37,428,775,339.32
  5. Step 5: Solve for x
    x = 37,428,775,339.32/219,228.93
  6. Step 6: Final answer
    x = 170,729.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.