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Finding the Fourth Proportional to 100,284.46, 138,455.46 and 64,536.58

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Solution

The fourth proportional to 100,284.46, 138,455.46 and 64,536.58 is: 89,100.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,284.46 : 138,455.46 = 64,536.58 : x
  2. Step 2: Convert to fraction form
    100,284.46/138,455.46 = 64,536.58/x
  3. Step 3: Cross multiply
    100,284.46x = 138,455.46 × 64,536.58
  4. Step 4: Simplify right side
    100,284.46x = 8,935,441,870.73
  5. Step 5: Solve for x
    x = 8,935,441,870.73/100,284.46
  6. Step 6: Final answer
    x = 89,100.96

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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.