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Finding the Fourth Proportional to 271,895.76, 407,885.13 and 138,703.34

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Solution

The fourth proportional to 271,895.76, 407,885.13 and 138,703.34 is: 208,076.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,895.76 : 407,885.13 = 138,703.34 : x
  2. Step 2: Convert to fraction form
    271,895.76/407,885.13 = 138,703.34/x
  3. Step 3: Cross multiply
    271,895.76x = 407,885.13 × 138,703.34
  4. Step 4: Simplify right side
    271,895.76x = 56,575,030,887.05
  5. Step 5: Solve for x
    x = 56,575,030,887.05/271,895.76
  6. Step 6: Final answer
    x = 208,076.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.