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Finding the Fourth Proportional to 138,989.68, 208,482.76 and 33,808.72

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Solution

The fourth proportional to 138,989.68, 208,482.76 and 33,808.72 is: 50,712.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,989.68 : 208,482.76 = 33,808.72 : x
  2. Step 2: Convert to fraction form
    138,989.68/208,482.76 = 33,808.72/x
  3. Step 3: Cross multiply
    138,989.68x = 208,482.76 × 33,808.72
  4. Step 4: Simplify right side
    138,989.68x = 7,048,535,257.67
  5. Step 5: Solve for x
    x = 7,048,535,257.67/138,989.68
  6. Step 6: Final answer
    x = 50,712.65

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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.