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Finding the Fourth Proportional to 83,855.81, 115,700.98 and 56,682.56

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Solution

The fourth proportional to 83,855.81, 115,700.98 and 56,682.56 is: 78,208.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,855.81 : 115,700.98 = 56,682.56 : x
  2. Step 2: Convert to fraction form
    83,855.81/115,700.98 = 56,682.56/x
  3. Step 3: Cross multiply
    83,855.81x = 115,700.98 × 56,682.56
  4. Step 4: Simplify right side
    83,855.81x = 6,558,227,828.75
  5. Step 5: Solve for x
    x = 6,558,227,828.75/83,855.81
  6. Step 6: Final answer
    x = 78,208.39

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1.5x scale

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.