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Finding the Fourth Proportional to 100,295.34, 138,422.81 and 64,012.44

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Solution

The fourth proportional to 100,295.34, 138,422.81 and 64,012.44 is: 88,346.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,295.34 : 138,422.81 = 64,012.44 : x
  2. Step 2: Convert to fraction form
    100,295.34/138,422.81 = 64,012.44/x
  3. Step 3: Cross multiply
    100,295.34x = 138,422.81 × 64,012.44
  4. Step 4: Simplify right side
    100,295.34x = 8,860,781,819.76
  5. Step 5: Solve for x
    x = 8,860,781,819.76/100,295.34
  6. Step 6: Final answer
    x = 88,346.89

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1.5x scale

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.