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Finding the Fourth Proportional to 102,006.80, 153,125.40 and 78,736.40

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Solution

The fourth proportional to 102,006.80, 153,125.40 and 78,736.40 is: 118,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,006.80 : 153,125.40 = 78,736.40 : x
  2. Step 2: Convert to fraction form
    102,006.80/153,125.40 = 78,736.40/x
  3. Step 3: Cross multiply
    102,006.80x = 153,125.40 × 78,736.40
  4. Step 4: Simplify right side
    102,006.80x = 12,056,542,744.56
  5. Step 5: Solve for x
    x = 12,056,542,744.56/102,006.80
  6. Step 6: Final answer
    x = 118,193.52

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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.