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Finding the Fourth Proportional to 128,803.32, 193,205.52 and 45,639

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Solution

The fourth proportional to 128,803.32, 193,205.52 and 45,639 is: 68,458.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,803.32 : 193,205.52 = 45,639 : x
  2. Step 2: Convert to fraction form
    128,803.32/193,205.52 = 45,639/x
  3. Step 3: Cross multiply
    128,803.32x = 193,205.52 × 45,639
  4. Step 4: Simplify right side
    128,803.32x = 8,817,706,727.28
  5. Step 5: Solve for x
    x = 8,817,706,727.28/128,803.32
  6. Step 6: Final answer
    x = 68,458.69

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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.