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Finding the Fourth Proportional to 75,109.61, 112,661.46 and 18,948.98

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Solution

The fourth proportional to 75,109.61, 112,661.46 and 18,948.98 is: 28,422.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,109.61 : 112,661.46 = 18,948.98 : x
  2. Step 2: Convert to fraction form
    75,109.61/112,661.46 = 18,948.98/x
  3. Step 3: Cross multiply
    75,109.61x = 112,661.46 × 18,948.98
  4. Step 4: Simplify right side
    75,109.61x = 2,134,819,189.00
  5. Step 5: Solve for x
    x = 2,134,819,189.00/75,109.61
  6. Step 6: Final answer
    x = 28,422.72

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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.