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Finding the Fourth Proportional to 50,820, 76,276.80 and 25,877.88

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Solution

The fourth proportional to 50,820, 76,276.80 and 25,877.88 is: 38,840.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,820 : 76,276.80 = 25,877.88 : x
  2. Step 2: Convert to fraction form
    50,820/76,276.80 = 25,877.88/x
  3. Step 3: Cross multiply
    50,820x = 76,276.80 × 25,877.88
  4. Step 4: Simplify right side
    50,820x = 1,973,881,877.18
  5. Step 5: Solve for x
    x = 1,973,881,877.18/50,820
  6. Step 6: Final answer
    x = 38,840.65

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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.