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Finding the Fourth Proportional to 208,442.40, 312,663.60 and 90,031.20

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Solution

The fourth proportional to 208,442.40, 312,663.60 and 90,031.20 is: 135,046.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,442.40 : 312,663.60 = 90,031.20 : x
  2. Step 2: Convert to fraction form
    208,442.40/312,663.60 = 90,031.20/x
  3. Step 3: Cross multiply
    208,442.40x = 312,663.60 × 90,031.20
  4. Step 4: Simplify right side
    208,442.40x = 28,149,479,104.32
  5. Step 5: Solve for x
    x = 28,149,479,104.32/208,442.40
  6. Step 6: Final answer
    x = 135,046.80

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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.