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Finding the Fourth Proportional to 84,642.10, 116,859.24 and 54,479.84

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Solution

The fourth proportional to 84,642.10, 116,859.24 and 54,479.84 is: 75,216.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,642.10 : 116,859.24 = 54,479.84 : x
  2. Step 2: Convert to fraction form
    84,642.10/116,859.24 = 54,479.84/x
  3. Step 3: Cross multiply
    84,642.10x = 116,859.24 × 54,479.84
  4. Step 4: Simplify right side
    84,642.10x = 6,366,472,697.72
  5. Step 5: Solve for x
    x = 6,366,472,697.72/84,642.10
  6. Step 6: Final answer
    x = 75,216.38

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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.