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Finding the Fourth Proportional to 271,818.45, 407,695.98 and 72,154.35

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Solution

The fourth proportional to 271,818.45, 407,695.98 and 72,154.35 is: 108,223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,818.45 : 407,695.98 = 72,154.35 : x
  2. Step 2: Convert to fraction form
    271,818.45/407,695.98 = 72,154.35/x
  3. Step 3: Cross multiply
    271,818.45x = 407,695.98 × 72,154.35
  4. Step 4: Simplify right side
    271,818.45x = 29,417,038,434.51
  5. Step 5: Solve for x
    x = 29,417,038,434.51/271,818.45
  6. Step 6: Final answer
    x = 108,223.11

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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.