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Finding the Fourth Proportional to 86,543.10, 129,919.95 and 54,953.10

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Solution

The fourth proportional to 86,543.10, 129,919.95 and 54,953.10 is: 82,496.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,543.10 : 129,919.95 = 54,953.10 : x
  2. Step 2: Convert to fraction form
    86,543.10/129,919.95 = 54,953.10/x
  3. Step 3: Cross multiply
    86,543.10x = 129,919.95 × 54,953.10
  4. Step 4: Simplify right side
    86,543.10x = 7,139,504,004.35
  5. Step 5: Solve for x
    x = 7,139,504,004.35/86,543.10
  6. Step 6: Final answer
    x = 82,496.51

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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.