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Finding the Fourth Proportional to 65,490, 98,235 and 23,937

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Solution

The fourth proportional to 65,490, 98,235 and 23,937 is: 35,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,490 : 98,235 = 23,937 : x
  2. Step 2: Convert to fraction form
    65,490/98,235 = 23,937/x
  3. Step 3: Cross multiply
    65,490x = 98,235 × 23,937
  4. Step 4: Simplify right side
    65,490x = 2,351,451,195
  5. Step 5: Solve for x
    x = 2,351,451,195/65,490
  6. Step 6: Final answer
    x = 35,905.50

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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.