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Finding the Fourth Proportional to 90,671.12, 135,868.10 and 38,051.90

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Solution

The fourth proportional to 90,671.12, 135,868.10 and 38,051.90 is: 57,019.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,671.12 : 135,868.10 = 38,051.90 : x
  2. Step 2: Convert to fraction form
    90,671.12/135,868.10 = 38,051.90/x
  3. Step 3: Cross multiply
    90,671.12x = 135,868.10 × 38,051.90
  4. Step 4: Simplify right side
    90,671.12x = 5,170,039,354.39
  5. Step 5: Solve for x
    x = 5,170,039,354.39/90,671.12
  6. Step 6: Final answer
    x = 57,019.69

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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.