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Finding the Fourth Proportional to 199,795.60, 299,693.40 and 81,402.40

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Solution

The fourth proportional to 199,795.60, 299,693.40 and 81,402.40 is: 122,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,795.60 : 299,693.40 = 81,402.40 : x
  2. Step 2: Convert to fraction form
    199,795.60/299,693.40 = 81,402.40/x
  3. Step 3: Cross multiply
    199,795.60x = 299,693.40 × 81,402.40
  4. Step 4: Simplify right side
    199,795.60x = 24,395,762,024.16
  5. Step 5: Solve for x
    x = 24,395,762,024.16/199,795.60
  6. Step 6: Final answer
    x = 122,103.60

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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.