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Finding the Fourth Proportional to 259,701.40, 389,697.90 and 109,916.20

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Solution

The fourth proportional to 259,701.40, 389,697.90 and 109,916.20 is: 164,936.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,701.40 : 389,697.90 = 109,916.20 : x
  2. Step 2: Convert to fraction form
    259,701.40/389,697.90 = 109,916.20/x
  3. Step 3: Cross multiply
    259,701.40x = 389,697.90 × 109,916.20
  4. Step 4: Simplify right side
    259,701.40x = 42,834,112,315.98
  5. Step 5: Solve for x
    x = 42,834,112,315.98/259,701.40
  6. Step 6: Final answer
    x = 164,936.01

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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.