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Finding the Fourth Proportional to 102,862.32, 154,300.32 and 39,712.56

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Solution

The fourth proportional to 102,862.32, 154,300.32 and 39,712.56 is: 59,571.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,862.32 : 154,300.32 = 39,712.56 : x
  2. Step 2: Convert to fraction form
    102,862.32/154,300.32 = 39,712.56/x
  3. Step 3: Cross multiply
    102,862.32x = 154,300.32 × 39,712.56
  4. Step 4: Simplify right side
    102,862.32x = 6,127,660,716.02
  5. Step 5: Solve for x
    x = 6,127,660,716.02/102,862.32
  6. Step 6: Final answer
    x = 59,571.48

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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.