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Finding the Fourth Proportional to 72,902.90, 109,354.50 and 20,312.57

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Solution

The fourth proportional to 72,902.90, 109,354.50 and 20,312.57 is: 30,468.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,902.90 : 109,354.50 = 20,312.57 : x
  2. Step 2: Convert to fraction form
    72,902.90/109,354.50 = 20,312.57/x
  3. Step 3: Cross multiply
    72,902.90x = 109,354.50 × 20,312.57
  4. Step 4: Simplify right side
    72,902.90x = 2,221,270,389.29
  5. Step 5: Solve for x
    x = 2,221,270,389.29/72,902.90
  6. Step 6: Final answer
    x = 30,468.89

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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.