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Finding the Fourth Proportional to 85,280.32, 127,963.68 and 57,520

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Solution

The fourth proportional to 85,280.32, 127,963.68 and 57,520 is: 86,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,280.32 : 127,963.68 = 57,520 : x
  2. Step 2: Convert to fraction form
    85,280.32/127,963.68 = 57,520/x
  3. Step 3: Cross multiply
    85,280.32x = 127,963.68 × 57,520
  4. Step 4: Simplify right side
    85,280.32x = 7,360,470,873.60
  5. Step 5: Solve for x
    x = 7,360,470,873.60/85,280.32
  6. Step 6: Final answer
    x = 86,309.14

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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.