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Finding the Fourth Proportional to 100,380.76, 138,526.14 and 55,671.64

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Solution

The fourth proportional to 100,380.76, 138,526.14 and 55,671.64 is: 76,827.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,380.76 : 138,526.14 = 55,671.64 : x
  2. Step 2: Convert to fraction form
    100,380.76/138,526.14 = 55,671.64/x
  3. Step 3: Cross multiply
    100,380.76x = 138,526.14 × 55,671.64
  4. Step 4: Simplify right side
    100,380.76x = 7,711,977,396.67
  5. Step 5: Solve for x
    x = 7,711,977,396.67/100,380.76
  6. Step 6: Final answer
    x = 76,827.25

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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.