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Finding the Fourth Proportional to 65,664, 98,510.38 and 21,295.24

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Solution

The fourth proportional to 65,664, 98,510.38 and 21,295.24 is: 31,947.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,664 : 98,510.38 = 21,295.24 : x
  2. Step 2: Convert to fraction form
    65,664/98,510.38 = 21,295.24/x
  3. Step 3: Cross multiply
    65,664x = 98,510.38 × 21,295.24
  4. Step 4: Simplify right side
    65,664x = 2,097,801,885.08
  5. Step 5: Solve for x
    x = 2,097,801,885.08/65,664
  6. Step 6: Final answer
    x = 31,947.52

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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.