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Finding the Fourth Proportional to 206,716.45, 310,056.45 and 56,943.40

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Solution

The fourth proportional to 206,716.45, 310,056.45 and 56,943.40 is: 85,410.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,716.45 : 310,056.45 = 56,943.40 : x
  2. Step 2: Convert to fraction form
    206,716.45/310,056.45 = 56,943.40/x
  3. Step 3: Cross multiply
    206,716.45x = 310,056.45 × 56,943.40
  4. Step 4: Simplify right side
    206,716.45x = 17,655,668,454.93
  5. Step 5: Solve for x
    x = 17,655,668,454.93/206,716.45
  6. Step 6: Final answer
    x = 85,410.08

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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.