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Finding the Fourth Proportional to 218,742.50, 328,113.75 and 70,998.50

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Solution

The fourth proportional to 218,742.50, 328,113.75 and 70,998.50 is: 106,497.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,742.50 : 328,113.75 = 70,998.50 : x
  2. Step 2: Convert to fraction form
    218,742.50/328,113.75 = 70,998.50/x
  3. Step 3: Cross multiply
    218,742.50x = 328,113.75 × 70,998.50
  4. Step 4: Simplify right side
    218,742.50x = 23,295,584,079.38
  5. Step 5: Solve for x
    x = 23,295,584,079.38/218,742.50
  6. Step 6: Final answer
    x = 106,497.75

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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.