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Finding the Fourth Proportional to 107,043.20, 160,411.20 and 78,742.40

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Solution

The fourth proportional to 107,043.20, 160,411.20 and 78,742.40 is: 118,000.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,043.20 : 160,411.20 = 78,742.40 : x
  2. Step 2: Convert to fraction form
    107,043.20/160,411.20 = 78,742.40/x
  3. Step 3: Cross multiply
    107,043.20x = 160,411.20 × 78,742.40
  4. Step 4: Simplify right side
    107,043.20x = 12,631,162,874.88
  5. Step 5: Solve for x
    x = 12,631,162,874.88/107,043.20
  6. Step 6: Final answer
    x = 118,000.61

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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.