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Finding the Fourth Proportional to 138,880.40, 208,320.60 and 118,835.60

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Solution

The fourth proportional to 138,880.40, 208,320.60 and 118,835.60 is: 178,253.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,880.40 : 208,320.60 = 118,835.60 : x
  2. Step 2: Convert to fraction form
    138,880.40/208,320.60 = 118,835.60/x
  3. Step 3: Cross multiply
    138,880.40x = 208,320.60 × 118,835.60
  4. Step 4: Simplify right side
    138,880.40x = 24,755,903,493.36
  5. Step 5: Solve for x
    x = 24,755,903,493.36/138,880.40
  6. Step 6: Final answer
    x = 178,253.40

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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.