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Finding the Fourth Proportional to 100,689.84, 151,024.32 and 34,128.24

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Solution

The fourth proportional to 100,689.84, 151,024.32 and 34,128.24 is: 51,188.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,689.84 : 151,024.32 = 34,128.24 : x
  2. Step 2: Convert to fraction form
    100,689.84/151,024.32 = 34,128.24/x
  3. Step 3: Cross multiply
    100,689.84x = 151,024.32 × 34,128.24
  4. Step 4: Simplify right side
    100,689.84x = 5,154,194,238.80
  5. Step 5: Solve for x
    x = 5,154,194,238.80/100,689.84
  6. Step 6: Final answer
    x = 51,188.82

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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.