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Finding the Fourth Proportional to 254,800, 382,200.80 and 77,308.48

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Solution

The fourth proportional to 254,800, 382,200.80 and 77,308.48 is: 115,962.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,800 : 382,200.80 = 77,308.48 : x
  2. Step 2: Convert to fraction form
    254,800/382,200.80 = 77,308.48/x
  3. Step 3: Cross multiply
    254,800x = 382,200.80 × 77,308.48
  4. Step 4: Simplify right side
    254,800x = 29,547,362,902.78
  5. Step 5: Solve for x
    x = 29,547,362,902.78/254,800
  6. Step 6: Final answer
    x = 115,962.96

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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.