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Finding the Fourth Proportional to 103,214.60, 154,821.90 and 85,718.60

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Solution

The fourth proportional to 103,214.60, 154,821.90 and 85,718.60 is: 128,577.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,214.60 : 154,821.90 = 85,718.60 : x
  2. Step 2: Convert to fraction form
    103,214.60/154,821.90 = 85,718.60/x
  3. Step 3: Cross multiply
    103,214.60x = 154,821.90 × 85,718.60
  4. Step 4: Simplify right side
    103,214.60x = 13,271,116,517.34
  5. Step 5: Solve for x
    x = 13,271,116,517.34/103,214.60
  6. Step 6: Final answer
    x = 128,577.90

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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.