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Finding the Fourth Proportional to 76,437.54, 105,479.10 and 42,443.96

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Solution

The fourth proportional to 76,437.54, 105,479.10 and 42,443.96 is: 58,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437.54 : 105,479.10 = 42,443.96 : x
  2. Step 2: Convert to fraction form
    76,437.54/105,479.10 = 42,443.96/x
  3. Step 3: Cross multiply
    76,437.54x = 105,479.10 × 42,443.96
  4. Step 4: Simplify right side
    76,437.54x = 4,476,950,173.84
  5. Step 5: Solve for x
    x = 4,476,950,173.84/76,437.54
  6. Step 6: Final answer
    x = 58,570.05

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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.