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Finding the Fourth Proportional to 117,173.76, 175,758.96 and 28,428

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Solution

The fourth proportional to 117,173.76, 175,758.96 and 28,428 is: 42,641.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,173.76 : 175,758.96 = 28,428 : x
  2. Step 2: Convert to fraction form
    117,173.76/175,758.96 = 28,428/x
  3. Step 3: Cross multiply
    117,173.76x = 175,758.96 × 28,428
  4. Step 4: Simplify right side
    117,173.76x = 4,996,475,714.88
  5. Step 5: Solve for x
    x = 4,996,475,714.88/117,173.76
  6. Step 6: Final answer
    x = 42,641.59

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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.