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Finding the Fourth Proportional to 82,854.92, 114,303.38 and 55,987.64

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Solution

The fourth proportional to 82,854.92, 114,303.38 and 55,987.64 is: 77,238.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,854.92 : 114,303.38 = 55,987.64 : x
  2. Step 2: Convert to fraction form
    82,854.92/114,303.38 = 55,987.64/x
  3. Step 3: Cross multiply
    82,854.92x = 114,303.38 × 55,987.64
  4. Step 4: Simplify right side
    82,854.92x = 6,399,576,490.22
  5. Step 5: Solve for x
    x = 6,399,576,490.22/82,854.92
  6. Step 6: Final answer
    x = 77,238.34

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1.5x scale

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.