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Finding the Fourth Proportional to 102,912.60, 154,368.90 and 85,416.60

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Solution

The fourth proportional to 102,912.60, 154,368.90 and 85,416.60 is: 128,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,912.60 : 154,368.90 = 85,416.60 : x
  2. Step 2: Convert to fraction form
    102,912.60/154,368.90 = 85,416.60/x
  3. Step 3: Cross multiply
    102,912.60x = 154,368.90 × 85,416.60
  4. Step 4: Simplify right side
    102,912.60x = 13,185,666,583.74
  5. Step 5: Solve for x
    x = 13,185,666,583.74/102,912.60
  6. Step 6: Final answer
    x = 128,124.90

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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.