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Finding the Fourth Proportional to 134,510, 185,674.56 and 105,754.64

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Solution

The fourth proportional to 134,510, 185,674.56 and 105,754.64 is: 145,981.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,510 : 185,674.56 = 105,754.64 : x
  2. Step 2: Convert to fraction form
    134,510/185,674.56 = 105,754.64/x
  3. Step 3: Cross multiply
    134,510x = 185,674.56 × 105,754.64
  4. Step 4: Simplify right side
    134,510x = 19,635,946,249.96
  5. Step 5: Solve for x
    x = 19,635,946,249.96/134,510
  6. Step 6: Final answer
    x = 145,981.31

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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.