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Finding the Fourth Proportional to 156,296, 234,482.88 and 45,488

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Solution

The fourth proportional to 156,296, 234,482.88 and 45,488 is: 68,243.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,296 : 234,482.88 = 45,488 : x
  2. Step 2: Convert to fraction form
    156,296/234,482.88 = 45,488/x
  3. Step 3: Cross multiply
    156,296x = 234,482.88 × 45,488
  4. Step 4: Simplify right side
    156,296x = 10,666,157,245.44
  5. Step 5: Solve for x
    x = 10,666,157,245.44/156,296
  6. Step 6: Final answer
    x = 68,243.32

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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.