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Finding the Fourth Proportional to 102,403.14, 153,630.60 and 28,531.14

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Solution

The fourth proportional to 102,403.14, 153,630.60 and 28,531.14 is: 42,803.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,403.14 : 153,630.60 = 28,531.14 : x
  2. Step 2: Convert to fraction form
    102,403.14/153,630.60 = 28,531.14/x
  3. Step 3: Cross multiply
    102,403.14x = 153,630.60 × 28,531.14
  4. Step 4: Simplify right side
    102,403.14x = 4,383,256,156.88
  5. Step 5: Solve for x
    x = 4,383,256,156.88/102,403.14
  6. Step 6: Final answer
    x = 42,803.92

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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.