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Finding the Fourth Proportional to 102,512.64, 153,794.56 and 28,640

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Solution

The fourth proportional to 102,512.64, 153,794.56 and 28,640 is: 42,967.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,512.64 : 153,794.56 = 28,640 : x
  2. Step 2: Convert to fraction form
    102,512.64/153,794.56 = 28,640/x
  3. Step 3: Cross multiply
    102,512.64x = 153,794.56 × 28,640
  4. Step 4: Simplify right side
    102,512.64x = 4,404,676,198.40
  5. Step 5: Solve for x
    x = 4,404,676,198.40/102,512.64
  6. Step 6: Final answer
    x = 42,967.15

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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.