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Finding the Fourth Proportional to 206,715.45, 310,054.95 and 56,942.40

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Solution

The fourth proportional to 206,715.45, 310,054.95 and 56,942.40 is: 85,408.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,715.45 : 310,054.95 = 56,942.40 : x
  2. Step 2: Convert to fraction form
    206,715.45/310,054.95 = 56,942.40/x
  3. Step 3: Cross multiply
    206,715.45x = 310,054.95 × 56,942.40
  4. Step 4: Simplify right side
    206,715.45x = 17,655,272,984.88
  5. Step 5: Solve for x
    x = 17,655,272,984.88/206,715.45
  6. Step 6: Final answer
    x = 85,408.58

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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.