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Finding the Fourth Proportional to 102,153.88, 153,230.10 and 39,824.38

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Solution

The fourth proportional to 102,153.88, 153,230.10 and 39,824.38 is: 59,736.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,153.88 : 153,230.10 = 39,824.38 : x
  2. Step 2: Convert to fraction form
    102,153.88/153,230.10 = 39,824.38/x
  3. Step 3: Cross multiply
    102,153.88x = 153,230.10 × 39,824.38
  4. Step 4: Simplify right side
    102,153.88x = 6,102,293,729.84
  5. Step 5: Solve for x
    x = 6,102,293,729.84/102,153.88
  6. Step 6: Final answer
    x = 59,736.29

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1.5x scale

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.