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Finding the Fourth Proportional to 77,204.80, 115,807.20 and 27,341.20

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Solution

The fourth proportional to 77,204.80, 115,807.20 and 27,341.20 is: 41,011.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,204.80 : 115,807.20 = 27,341.20 : x
  2. Step 2: Convert to fraction form
    77,204.80/115,807.20 = 27,341.20/x
  3. Step 3: Cross multiply
    77,204.80x = 115,807.20 × 27,341.20
  4. Step 4: Simplify right side
    77,204.80x = 3,166,307,816.64
  5. Step 5: Solve for x
    x = 3,166,307,816.64/77,204.80
  6. Step 6: Final answer
    x = 41,011.80

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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.