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Finding the Fourth Proportional to 102,406.88, 153,636.23 and 28,534.88

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Solution

The fourth proportional to 102,406.88, 153,636.23 and 28,534.88 is: 42,809.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,406.88 : 153,636.23 = 28,534.88 : x
  2. Step 2: Convert to fraction form
    102,406.88/153,636.23 = 28,534.88/x
  3. Step 3: Cross multiply
    102,406.88x = 153,636.23 × 28,534.88
  4. Step 4: Simplify right side
    102,406.88x = 4,383,990,689.86
  5. Step 5: Solve for x
    x = 4,383,990,689.86/102,406.88
  6. Step 6: Final answer
    x = 42,809.53

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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.