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Finding the Fourth Proportional to 272,039.60, 408,097.80 and 85,031.60

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Solution

The fourth proportional to 272,039.60, 408,097.80 and 85,031.60 is: 127,559.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,039.60 : 408,097.80 = 85,031.60 : x
  2. Step 2: Convert to fraction form
    272,039.60/408,097.80 = 85,031.60/x
  3. Step 3: Cross multiply
    272,039.60x = 408,097.80 × 85,031.60
  4. Step 4: Simplify right side
    272,039.60x = 34,701,208,890.48
  5. Step 5: Solve for x
    x = 34,701,208,890.48/272,039.60
  6. Step 6: Final answer
    x = 127,559.40

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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.