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Finding the Fourth Proportional to 102,015.80, 152,874.30 and 91,485.80

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Solution

The fourth proportional to 102,015.80, 152,874.30 and 91,485.80 is: 137,094.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,015.80 : 152,874.30 = 91,485.80 : x
  2. Step 2: Convert to fraction form
    102,015.80/152,874.30 = 91,485.80/x
  3. Step 3: Cross multiply
    102,015.80x = 152,874.30 × 91,485.80
  4. Step 4: Simplify right side
    102,015.80x = 13,985,827,634.94
  5. Step 5: Solve for x
    x = 13,985,827,634.94/102,015.80
  6. Step 6: Final answer
    x = 137,094.72

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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.