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Finding the Fourth Proportional to 65,376.72, 98,065.49 and 21,005.87

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Solution

The fourth proportional to 65,376.72, 98,065.49 and 21,005.87 is: 31,508.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,376.72 : 98,065.49 = 21,005.87 : x
  2. Step 2: Convert to fraction form
    65,376.72/98,065.49 = 21,005.87/x
  3. Step 3: Cross multiply
    65,376.72x = 98,065.49 × 21,005.87
  4. Step 4: Simplify right side
    65,376.72x = 2,059,950,339.07
  5. Step 5: Solve for x
    x = 2,059,950,339.07/65,376.72
  6. Step 6: Final answer
    x = 31,508.93

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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.