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Finding the Fourth Proportional to 104,640, 156,994.56 and 42,276.48

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Solution

The fourth proportional to 104,640, 156,994.56 and 42,276.48 is: 63,428.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,640 : 156,994.56 = 42,276.48 : x
  2. Step 2: Convert to fraction form
    104,640/156,994.56 = 42,276.48/x
  3. Step 3: Cross multiply
    104,640x = 156,994.56 × 42,276.48
  4. Step 4: Simplify right side
    104,640x = 6,637,177,375.95
  5. Step 5: Solve for x
    x = 6,637,177,375.95/104,640
  6. Step 6: Final answer
    x = 63,428.68

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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.