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Finding the Fourth Proportional to 155,224.40, 232,836.60 and 102,080.30

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Solution

The fourth proportional to 155,224.40, 232,836.60 and 102,080.30 is: 153,120.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,224.40 : 232,836.60 = 102,080.30 : x
  2. Step 2: Convert to fraction form
    155,224.40/232,836.60 = 102,080.30/x
  3. Step 3: Cross multiply
    155,224.40x = 232,836.60 × 102,080.30
  4. Step 4: Simplify right side
    155,224.40x = 23,768,029,978.98
  5. Step 5: Solve for x
    x = 23,768,029,978.98/155,224.40
  6. Step 6: Final answer
    x = 153,120.45

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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.