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Finding the Fourth Proportional to 103,638.50, 143,021.14 and 58,926.50

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Solution

The fourth proportional to 103,638.50, 143,021.14 and 58,926.50 is: 81,318.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,638.50 : 143,021.14 = 58,926.50 : x
  2. Step 2: Convert to fraction form
    103,638.50/143,021.14 = 58,926.50/x
  3. Step 3: Cross multiply
    103,638.50x = 143,021.14 × 58,926.50
  4. Step 4: Simplify right side
    103,638.50x = 8,427,735,206.21
  5. Step 5: Solve for x
    x = 8,427,735,206.21/103,638.50
  6. Step 6: Final answer
    x = 81,318.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.