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Finding the Fourth Proportional to 105,624.80, 145,748.34 and 63,167.84

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Solution

The fourth proportional to 105,624.80, 145,748.34 and 63,167.84 is: 87,163.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,624.80 : 145,748.34 = 63,167.84 : x
  2. Step 2: Convert to fraction form
    105,624.80/145,748.34 = 63,167.84/x
  3. Step 3: Cross multiply
    105,624.80x = 145,748.34 × 63,167.84
  4. Step 4: Simplify right side
    105,624.80x = 9,206,607,821.39
  5. Step 5: Solve for x
    x = 9,206,607,821.39/105,624.80
  6. Step 6: Final answer
    x = 87,163.32

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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.