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Finding the Fourth Proportional to 65,580.86, 98,376.70 and 21,214.74

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Solution

The fourth proportional to 65,580.86, 98,376.70 and 21,214.74 is: 31,823.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,580.86 : 98,376.70 = 21,214.74 : x
  2. Step 2: Convert to fraction form
    65,580.86/98,376.70 = 21,214.74/x
  3. Step 3: Cross multiply
    65,580.86x = 98,376.70 × 21,214.74
  4. Step 4: Simplify right side
    65,580.86x = 2,087,036,112.56
  5. Step 5: Solve for x
    x = 2,087,036,112.56/65,580.86
  6. Step 6: Final answer
    x = 31,823.86

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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.