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Finding the Fourth Proportional to 100,702.91, 138,973.12 and 55,385.54

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Solution

The fourth proportional to 100,702.91, 138,973.12 and 55,385.54 is: 76,433.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,702.91 : 138,973.12 = 55,385.54 : x
  2. Step 2: Convert to fraction form
    100,702.91/138,973.12 = 55,385.54/x
  3. Step 3: Cross multiply
    100,702.91x = 138,973.12 × 55,385.54
  4. Step 4: Simplify right side
    100,702.91x = 7,697,100,984.50
  5. Step 5: Solve for x
    x = 7,697,100,984.50/100,702.91
  6. Step 6: Final answer
    x = 76,433.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.