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Finding the Fourth Proportional to 209,877.50, 314,861.06 and 67,730.87

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Solution

The fourth proportional to 209,877.50, 314,861.06 and 67,730.87 is: 101,610.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,877.50 : 314,861.06 = 67,730.87 : x
  2. Step 2: Convert to fraction form
    209,877.50/314,861.06 = 67,730.87/x
  3. Step 3: Cross multiply
    209,877.50x = 314,861.06 × 67,730.87
  4. Step 4: Simplify right side
    209,877.50x = 21,325,812,117.94
  5. Step 5: Solve for x
    x = 21,325,812,117.94/209,877.50
  6. Step 6: Final answer
    x = 101,610.76

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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.