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Finding the Fourth Proportional to 65,678.72, 98,492.64 and 21,294.80

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Solution

The fourth proportional to 65,678.72, 98,492.64 and 21,294.80 is: 31,933.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,678.72 : 98,492.64 = 21,294.80 : x
  2. Step 2: Convert to fraction form
    65,678.72/98,492.64 = 21,294.80/x
  3. Step 3: Cross multiply
    65,678.72x = 98,492.64 × 21,294.80
  4. Step 4: Simplify right side
    65,678.72x = 2,097,381,070.27
  5. Step 5: Solve for x
    x = 2,097,381,070.27/65,678.72
  6. Step 6: Final answer
    x = 31,933.95

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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.