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Finding the Fourth Proportional to 52,683.38, 72,703.12 and 28,809.98

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Solution

The fourth proportional to 52,683.38, 72,703.12 and 28,809.98 is: 39,757.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,683.38 : 72,703.12 = 28,809.98 : x
  2. Step 2: Convert to fraction form
    52,683.38/72,703.12 = 28,809.98/x
  3. Step 3: Cross multiply
    52,683.38x = 72,703.12 × 28,809.98
  4. Step 4: Simplify right side
    52,683.38x = 2,094,575,433.14
  5. Step 5: Solve for x
    x = 2,094,575,433.14/52,683.38
  6. Step 6: Final answer
    x = 39,757.80

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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.