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Finding the Fourth Proportional to 199,614.60, 299,076.30 and 129,457.80

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Solution

The fourth proportional to 199,614.60, 299,076.30 and 129,457.80 is: 193,962.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,614.60 : 299,076.30 = 129,457.80 : x
  2. Step 2: Convert to fraction form
    199,614.60/299,076.30 = 129,457.80/x
  3. Step 3: Cross multiply
    199,614.60x = 299,076.30 × 129,457.80
  4. Step 4: Simplify right side
    199,614.60x = 38,717,759,830.14
  5. Step 5: Solve for x
    x = 38,717,759,830.14/199,614.60
  6. Step 6: Final answer
    x = 193,962.57

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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.