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Finding the Fourth Proportional to 199,456.80, 299,199.60 and 66,429.60

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Solution

The fourth proportional to 199,456.80, 299,199.60 and 66,429.60 is: 99,649.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,456.80 : 299,199.60 = 66,429.60 : x
  2. Step 2: Convert to fraction form
    199,456.80/299,199.60 = 66,429.60/x
  3. Step 3: Cross multiply
    199,456.80x = 299,199.60 × 66,429.60
  4. Step 4: Simplify right side
    199,456.80x = 19,875,709,748.16
  5. Step 5: Solve for x
    x = 19,875,709,748.16/199,456.80
  6. Step 6: Final answer
    x = 99,649.20

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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.