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Finding the Fourth Proportional to 70,078.85, 105,259.77 and 42,052.14

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Solution

The fourth proportional to 70,078.85, 105,259.77 and 42,052.14 is: 63,163.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,078.85 : 105,259.77 = 42,052.14 : x
  2. Step 2: Convert to fraction form
    70,078.85/105,259.77 = 42,052.14/x
  3. Step 3: Cross multiply
    70,078.85x = 105,259.77 × 42,052.14
  4. Step 4: Simplify right side
    70,078.85x = 4,426,398,584.41
  5. Step 5: Solve for x
    x = 4,426,398,584.41/70,078.85
  6. Step 6: Final answer
    x = 63,163.12

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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.