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Finding the Fourth Proportional to 128,847, 177,828.30 and 78,575.16

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Solution

The fourth proportional to 128,847, 177,828.30 and 78,575.16 is: 108,445.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,847 : 177,828.30 = 78,575.16 : x
  2. Step 2: Convert to fraction form
    128,847/177,828.30 = 78,575.16/x
  3. Step 3: Cross multiply
    128,847x = 177,828.30 × 78,575.16
  4. Step 4: Simplify right side
    128,847x = 13,972,887,125.03
  5. Step 5: Solve for x
    x = 13,972,887,125.03/128,847
  6. Step 6: Final answer
    x = 108,445.58

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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.