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Finding the Fourth Proportional to 90,228.56, 135,342.90 and 56,999.12

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Solution

The fourth proportional to 90,228.56, 135,342.90 and 56,999.12 is: 85,498.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,228.56 : 135,342.90 = 56,999.12 : x
  2. Step 2: Convert to fraction form
    90,228.56/135,342.90 = 56,999.12/x
  3. Step 3: Cross multiply
    90,228.56x = 135,342.90 × 56,999.12
  4. Step 4: Simplify right side
    90,228.56x = 7,714,425,521.53
  5. Step 5: Solve for x
    x = 7,714,425,521.53/90,228.56
  6. Step 6: Final answer
    x = 85,498.72

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1.5x scale

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.