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Finding the Fourth Proportional to 219,456.99, 302,981.16 and 138,953.52

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Solution

The fourth proportional to 219,456.99, 302,981.16 and 138,953.52 is: 191,838.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,456.99 : 302,981.16 = 138,953.52 : x
  2. Step 2: Convert to fraction form
    219,456.99/302,981.16 = 138,953.52/x
  3. Step 3: Cross multiply
    219,456.99x = 302,981.16 × 138,953.52
  4. Step 4: Simplify right side
    219,456.99x = 42,100,298,675.68
  5. Step 5: Solve for x
    x = 42,100,298,675.68/219,456.99
  6. Step 6: Final answer
    x = 191,838.49

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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.