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Finding the Fourth Proportional to 90,353.61, 135,551.88 and 31,189.77

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Solution

The fourth proportional to 90,353.61, 135,551.88 and 31,189.77 is: 46,792.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,353.61 : 135,551.88 = 31,189.77 : x
  2. Step 2: Convert to fraction form
    90,353.61/135,551.88 = 31,189.77/x
  3. Step 3: Cross multiply
    90,353.61x = 135,551.88 × 31,189.77
  4. Step 4: Simplify right side
    90,353.61x = 4,227,831,960.27
  5. Step 5: Solve for x
    x = 4,227,831,960.27/90,353.61
  6. Step 6: Final answer
    x = 46,792.06

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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.