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Finding the Fourth Proportional to 129,287.84, 193,801.98 and 54,426.20

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Solution

The fourth proportional to 129,287.84, 193,801.98 and 54,426.20 is: 81,584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,287.84 : 193,801.98 = 54,426.20 : x
  2. Step 2: Convert to fraction form
    129,287.84/193,801.98 = 54,426.20/x
  3. Step 3: Cross multiply
    129,287.84x = 193,801.98 × 54,426.20
  4. Step 4: Simplify right side
    129,287.84x = 10,547,905,323.88
  5. Step 5: Solve for x
    x = 10,547,905,323.88/129,287.84
  6. Step 6: Final answer
    x = 81,584.67

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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.