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Finding the Fourth Proportional to 65,812.55, 98,718.74 and 21,439.23

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Solution

The fourth proportional to 65,812.55, 98,718.74 and 21,439.23 is: 32,158.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,812.55 : 98,718.74 = 21,439.23 : x
  2. Step 2: Convert to fraction form
    65,812.55/98,718.74 = 21,439.23/x
  3. Step 3: Cross multiply
    65,812.55x = 98,718.74 × 21,439.23
  4. Step 4: Simplify right side
    65,812.55x = 2,116,453,664.97
  5. Step 5: Solve for x
    x = 2,116,453,664.97/65,812.55
  6. Step 6: Final answer
    x = 32,158.82

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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.