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Finding the Fourth Proportional to 76,435.52, 105,482.12 and 42,446.12

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Solution

The fourth proportional to 76,435.52, 105,482.12 and 42,446.12 is: 58,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,435.52 : 105,482.12 = 42,446.12 : x
  2. Step 2: Convert to fraction form
    76,435.52/105,482.12 = 42,446.12/x
  3. Step 3: Cross multiply
    76,435.52x = 105,482.12 × 42,446.12
  4. Step 4: Simplify right side
    76,435.52x = 4,477,305,983.73
  5. Step 5: Solve for x
    x = 4,477,305,983.73/76,435.52
  6. Step 6: Final answer
    x = 58,576.25

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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.