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Finding the Fourth Proportional to 65,580.86, 98,376.69 and 21,214.73

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Solution

The fourth proportional to 65,580.86, 98,376.69 and 21,214.73 is: 31,823.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,580.86 : 98,376.69 = 21,214.73 : x
  2. Step 2: Convert to fraction form
    65,580.86/98,376.69 = 21,214.73/x
  3. Step 3: Cross multiply
    65,580.86x = 98,376.69 × 21,214.73
  4. Step 4: Simplify right side
    65,580.86x = 2,087,034,916.64
  5. Step 5: Solve for x
    x = 2,087,034,916.64/65,580.86
  6. Step 6: Final answer
    x = 31,823.84

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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.