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Finding the Fourth Proportional to 219,492, 302,911.92 and 123,996.24

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Solution

The fourth proportional to 219,492, 302,911.92 and 123,996.24 is: 171,122.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,492 : 302,911.92 = 123,996.24 : x
  2. Step 2: Convert to fraction form
    219,492/302,911.92 = 123,996.24/x
  3. Step 3: Cross multiply
    219,492x = 302,911.92 × 123,996.24
  4. Step 4: Simplify right side
    219,492x = 37,559,939,131.18
  5. Step 5: Solve for x
    x = 37,559,939,131.18/219,492
  6. Step 6: Final answer
    x = 171,122.13

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1.5x scale

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.