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Finding the Fourth Proportional to 219,572.61, 302,996.12 and 122,784.44

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Solution

The fourth proportional to 219,572.61, 302,996.12 and 122,784.44 is: 169,434.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,572.61 : 302,996.12 = 122,784.44 : x
  2. Step 2: Convert to fraction form
    219,572.61/302,996.12 = 122,784.44/x
  3. Step 3: Cross multiply
    219,572.61x = 302,996.12 × 122,784.44
  4. Step 4: Simplify right side
    219,572.61x = 37,203,208,916.37
  5. Step 5: Solve for x
    x = 37,203,208,916.37/219,572.61
  6. Step 6: Final answer
    x = 169,434.66

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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.