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Finding the Fourth Proportional to 67,654.98, 101,492.19 and 20,911.50

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Solution

The fourth proportional to 67,654.98, 101,492.19 and 20,911.50 is: 31,370.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,654.98 : 101,492.19 = 20,911.50 : x
  2. Step 2: Convert to fraction form
    67,654.98/101,492.19 = 20,911.50/x
  3. Step 3: Cross multiply
    67,654.98x = 101,492.19 × 20,911.50
  4. Step 4: Simplify right side
    67,654.98x = 2,122,353,931.19
  5. Step 5: Solve for x
    x = 2,122,353,931.19/67,654.98
  6. Step 6: Final answer
    x = 31,370.25

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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.