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Finding the Fourth Proportional to 271,981.75, 375,312.83 and 157,267.84

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Solution

The fourth proportional to 271,981.75, 375,312.83 and 157,267.84 is: 217,016.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,981.75 : 375,312.83 = 157,267.84 : x
  2. Step 2: Convert to fraction form
    271,981.75/375,312.83 = 157,267.84/x
  3. Step 3: Cross multiply
    271,981.75x = 375,312.83 × 157,267.84
  4. Step 4: Simplify right side
    271,981.75x = 59,024,636,221.82
  5. Step 5: Solve for x
    x = 59,024,636,221.82/271,981.75
  6. Step 6: Final answer
    x = 217,016.90

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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.