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Finding the Fourth Proportional to 82,859.54, 114,389.44 and 64,671.20

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Solution

The fourth proportional to 82,859.54, 114,389.44 and 64,671.20 is: 89,280.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,859.54 : 114,389.44 = 64,671.20 : x
  2. Step 2: Convert to fraction form
    82,859.54/114,389.44 = 64,671.20/x
  3. Step 3: Cross multiply
    82,859.54x = 114,389.44 × 64,671.20
  4. Step 4: Simplify right side
    82,859.54x = 7,397,702,352.13
  5. Step 5: Solve for x
    x = 7,397,702,352.13/82,859.54
  6. Step 6: Final answer
    x = 89,280.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.