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Finding the Fourth Proportional to 134,532.64, 185,676.72 and 77,976.64

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Solution

The fourth proportional to 134,532.64, 185,676.72 and 77,976.64 is: 107,620.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,532.64 : 185,676.72 = 77,976.64 : x
  2. Step 2: Convert to fraction form
    134,532.64/185,676.72 = 77,976.64/x
  3. Step 3: Cross multiply
    134,532.64x = 185,676.72 × 77,976.64
  4. Step 4: Simplify right side
    134,532.64x = 14,478,446,751.82
  5. Step 5: Solve for x
    x = 14,478,446,751.82/134,532.64
  6. Step 6: Final answer
    x = 107,620.33

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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.