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Finding the Fourth Proportional to 85,247.80, 127,929.30 and 47,807.80

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Solution

The fourth proportional to 85,247.80, 127,929.30 and 47,807.80 is: 71,744.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,247.80 : 127,929.30 = 47,807.80 : x
  2. Step 2: Convert to fraction form
    85,247.80/127,929.30 = 47,807.80/x
  3. Step 3: Cross multiply
    85,247.80x = 127,929.30 × 47,807.80
  4. Step 4: Simplify right side
    85,247.80x = 6,116,018,388.54
  5. Step 5: Solve for x
    x = 6,116,018,388.54/85,247.80
  6. Step 6: Final answer
    x = 71,744.00

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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.