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Finding the Fourth Proportional to 144,900, 199,962.54 and 84,512.34

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Solution

The fourth proportional to 144,900, 199,962.54 and 84,512.34 is: 116,627.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,900 : 199,962.54 = 84,512.34 : x
  2. Step 2: Convert to fraction form
    144,900/199,962.54 = 84,512.34/x
  3. Step 3: Cross multiply
    144,900x = 199,962.54 × 84,512.34
  4. Step 4: Simplify right side
    144,900x = 16,899,302,167.74
  5. Step 5: Solve for x
    x = 16,899,302,167.74/144,900
  6. Step 6: Final answer
    x = 116,627.34

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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.