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Finding the Fourth Proportional to 253,102.72, 349,244.48 and 144,208

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Solution

The fourth proportional to 253,102.72, 349,244.48 and 144,208 is: 198,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,102.72 : 349,244.48 = 144,208 : x
  2. Step 2: Convert to fraction form
    253,102.72/349,244.48 = 144,208/x
  3. Step 3: Cross multiply
    253,102.72x = 349,244.48 × 144,208
  4. Step 4: Simplify right side
    253,102.72x = 50,363,847,971.84
  5. Step 5: Solve for x
    x = 50,363,847,971.84/253,102.72
  6. Step 6: Final answer
    x = 198,985.80

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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.