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Finding the Fourth Proportional to 90,312.96, 135,272.88 and 55,146

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Solution

The fourth proportional to 90,312.96, 135,272.88 and 55,146 is: 82,598.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,312.96 : 135,272.88 = 55,146 : x
  2. Step 2: Convert to fraction form
    90,312.96/135,272.88 = 55,146/x
  3. Step 3: Cross multiply
    90,312.96x = 135,272.88 × 55,146
  4. Step 4: Simplify right side
    90,312.96x = 7,459,758,240.48
  5. Step 5: Solve for x
    x = 7,459,758,240.48/90,312.96
  6. Step 6: Final answer
    x = 82,598.98

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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.