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Finding the Fourth Proportional to 102,339.84, 153,380.76 and 54,837.12

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Solution

The fourth proportional to 102,339.84, 153,380.76 and 54,837.12 is: 82,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,339.84 : 153,380.76 = 54,837.12 : x
  2. Step 2: Convert to fraction form
    102,339.84/153,380.76 = 54,837.12/x
  3. Step 3: Cross multiply
    102,339.84x = 153,380.76 × 54,837.12
  4. Step 4: Simplify right side
    102,339.84x = 8,410,959,141.81
  5. Step 5: Solve for x
    x = 8,410,959,141.81/102,339.84
  6. Step 6: Final answer
    x = 82,186.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.