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Finding the Fourth Proportional to 86,114.80, 128,941.80 and 54,780.40

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Solution

The fourth proportional to 86,114.80, 128,941.80 and 54,780.40 is: 82,024.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,114.80 : 128,941.80 = 54,780.40 : x
  2. Step 2: Convert to fraction form
    86,114.80/128,941.80 = 54,780.40/x
  3. Step 3: Cross multiply
    86,114.80x = 128,941.80 × 54,780.40
  4. Step 4: Simplify right side
    86,114.80x = 7,063,483,380.72
  5. Step 5: Solve for x
    x = 7,063,483,380.72/86,114.80
  6. Step 6: Final answer
    x = 82,024.04

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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.