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Finding the Fourth Proportional to 76,118.40, 105,042.24 and 42,584.40

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Solution

The fourth proportional to 76,118.40, 105,042.24 and 42,584.40 is: 58,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,118.40 : 105,042.24 = 42,584.40 : x
  2. Step 2: Convert to fraction form
    76,118.40/105,042.24 = 42,584.40/x
  3. Step 3: Cross multiply
    76,118.40x = 105,042.24 × 42,584.40
  4. Step 4: Simplify right side
    76,118.40x = 4,473,160,765.06
  5. Step 5: Solve for x
    x = 4,473,160,765.06/76,118.40
  6. Step 6: Final answer
    x = 58,765.83

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1.5x scale

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.