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Finding the Fourth Proportional to 100,653.16, 138,921.50 and 76,737.12

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Solution

The fourth proportional to 100,653.16, 138,921.50 and 76,737.12 is: 105,912.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,653.16 : 138,921.50 = 76,737.12 : x
  2. Step 2: Convert to fraction form
    100,653.16/138,921.50 = 76,737.12/x
  3. Step 3: Cross multiply
    100,653.16x = 138,921.50 × 76,737.12
  4. Step 4: Simplify right side
    100,653.16x = 10,660,435,816.08
  5. Step 5: Solve for x
    x = 10,660,435,816.08/100,653.16
  6. Step 6: Final answer
    x = 105,912.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.