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Finding the Fourth Proportional to 70,584.70, 105,860.88 and 42,129.68

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Solution

The fourth proportional to 70,584.70, 105,860.88 and 42,129.68 is: 63,184.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,584.70 : 105,860.88 = 42,129.68 : x
  2. Step 2: Convert to fraction form
    70,584.70/105,860.88 = 42,129.68/x
  3. Step 3: Cross multiply
    70,584.70x = 105,860.88 × 42,129.68
  4. Step 4: Simplify right side
    70,584.70x = 4,459,884,998.92
  5. Step 5: Solve for x
    x = 4,459,884,998.92/70,584.70
  6. Step 6: Final answer
    x = 63,184.87

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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.