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Finding the Fourth Proportional to 86,113.80, 128,940.30 and 54,779.40

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Solution

The fourth proportional to 86,113.80, 128,940.30 and 54,779.40 is: 82,022.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,113.80 : 128,940.30 = 54,779.40 : x
  2. Step 2: Convert to fraction form
    86,113.80/128,940.30 = 54,779.40/x
  3. Step 3: Cross multiply
    86,113.80x = 128,940.30 × 54,779.40
  4. Step 4: Simplify right side
    86,113.80x = 7,063,272,269.82
  5. Step 5: Solve for x
    x = 7,063,272,269.82/86,113.80
  6. Step 6: Final answer
    x = 82,022.54

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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.