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Finding the Fourth Proportional to 271,904.95, 407,898.87 and 138,712.56

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Solution

The fourth proportional to 271,904.95, 407,898.87 and 138,712.56 is: 208,089.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,904.95 : 407,898.87 = 138,712.56 : x
  2. Step 2: Convert to fraction form
    271,904.95/407,898.87 = 138,712.56/x
  3. Step 3: Cross multiply
    271,904.95x = 407,898.87 × 138,712.56
  4. Step 4: Simplify right side
    271,904.95x = 56,580,696,478.81
  5. Step 5: Solve for x
    x = 56,580,696,478.81/271,904.95
  6. Step 6: Final answer
    x = 208,089.98

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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.