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Finding the Fourth Proportional to 72,920.42, 109,386.82 and 20,329.96

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Solution

The fourth proportional to 72,920.42, 109,386.82 and 20,329.96 is: 30,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,920.42 : 109,386.82 = 20,329.96 : x
  2. Step 2: Convert to fraction form
    72,920.42/109,386.82 = 20,329.96/x
  3. Step 3: Cross multiply
    72,920.42x = 109,386.82 × 20,329.96
  4. Step 4: Simplify right side
    72,920.42x = 2,223,829,675.13
  5. Step 5: Solve for x
    x = 2,223,829,675.13/72,920.42
  6. Step 6: Final answer
    x = 30,496.67

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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.