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Finding the Fourth Proportional to 271,897.76, 407,888.13 and 138,705.35

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Solution

The fourth proportional to 271,897.76, 407,888.13 and 138,705.35 is: 208,079.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,897.76 : 407,888.13 = 138,705.35 : x
  2. Step 2: Convert to fraction form
    271,897.76/407,888.13 = 138,705.35/x
  3. Step 3: Cross multiply
    271,897.76x = 407,888.13 × 138,705.35
  4. Step 4: Simplify right side
    271,897.76x = 56,576,263,793.05
  5. Step 5: Solve for x
    x = 56,576,263,793.05/271,897.76
  6. Step 6: Final answer
    x = 208,079.18

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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.