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Finding the Fourth Proportional to 103,314.60, 154,971.90 and 90,192.60

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Solution

The fourth proportional to 103,314.60, 154,971.90 and 90,192.60 is: 135,288.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,314.60 : 154,971.90 = 90,192.60 : x
  2. Step 2: Convert to fraction form
    103,314.60/154,971.90 = 90,192.60/x
  3. Step 3: Cross multiply
    103,314.60x = 154,971.90 × 90,192.60
  4. Step 4: Simplify right side
    103,314.60x = 13,977,318,587.94
  5. Step 5: Solve for x
    x = 13,977,318,587.94/103,314.60
  6. Step 6: Final answer
    x = 135,288.90

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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.