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Finding the Fourth Proportional to 219,502.79, 302,907.63 and 128,857.31

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Solution

The fourth proportional to 219,502.79, 302,907.63 and 128,857.31 is: 177,819.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,502.79 : 302,907.63 = 128,857.31 : x
  2. Step 2: Convert to fraction form
    219,502.79/302,907.63 = 128,857.31/x
  3. Step 3: Cross multiply
    219,502.79x = 302,907.63 × 128,857.31
  4. Step 4: Simplify right side
    219,502.79x = 39,031,862,380.28
  5. Step 5: Solve for x
    x = 39,031,862,380.28/219,502.79
  6. Step 6: Final answer
    x = 177,819.44

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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.