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Finding the Fourth Proportional to 78,435.74, 117,622.46 and 28,488.60

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Solution

The fourth proportional to 78,435.74, 117,622.46 and 28,488.60 is: 42,721.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,435.74 : 117,622.46 = 28,488.60 : x
  2. Step 2: Convert to fraction form
    78,435.74/117,622.46 = 28,488.60/x
  3. Step 3: Cross multiply
    78,435.74x = 117,622.46 × 28,488.60
  4. Step 4: Simplify right side
    78,435.74x = 3,350,899,213.96
  5. Step 5: Solve for x
    x = 3,350,899,213.96/78,435.74
  6. Step 6: Final answer
    x = 42,721.59

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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.