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Finding the Fourth Proportional to 102,865.60, 154,006.80 and 91,201.60

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Solution

The fourth proportional to 102,865.60, 154,006.80 and 91,201.60 is: 136,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,865.60 : 154,006.80 = 91,201.60 : x
  2. Step 2: Convert to fraction form
    102,865.60/154,006.80 = 91,201.60/x
  3. Step 3: Cross multiply
    102,865.60x = 154,006.80 × 91,201.60
  4. Step 4: Simplify right side
    102,865.60x = 14,045,666,570.88
  5. Step 5: Solve for x
    x = 14,045,666,570.88/102,865.60
  6. Step 6: Final answer
    x = 136,543.86

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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.