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Finding the Fourth Proportional to 199,862.40, 299,404.80 and 120,741.60

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Solution

The fourth proportional to 199,862.40, 299,404.80 and 120,741.60 is: 180,877.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,862.40 : 299,404.80 = 120,741.60 : x
  2. Step 2: Convert to fraction form
    199,862.40/299,404.80 = 120,741.60/x
  3. Step 3: Cross multiply
    199,862.40x = 299,404.80 × 120,741.60
  4. Step 4: Simplify right side
    199,862.40x = 36,150,614,599.68
  5. Step 5: Solve for x
    x = 36,150,614,599.68/199,862.40
  6. Step 6: Final answer
    x = 180,877.52

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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.