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Finding the Fourth Proportional to 109,478.96, 151,080.96 and 59,178

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Solution

The fourth proportional to 109,478.96, 151,080.96 and 59,178 is: 81,665.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,478.96 : 151,080.96 = 59,178 : x
  2. Step 2: Convert to fraction form
    109,478.96/151,080.96 = 59,178/x
  3. Step 3: Cross multiply
    109,478.96x = 151,080.96 × 59,178
  4. Step 4: Simplify right side
    109,478.96x = 8,940,669,050.88
  5. Step 5: Solve for x
    x = 8,940,669,050.88/109,478.96
  6. Step 6: Final answer
    x = 81,665.64

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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.