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Finding the Fourth Proportional to 65,448, 98,172 and 16,200

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Solution

The fourth proportional to 65,448, 98,172 and 16,200 is: 24,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,448 : 98,172 = 16,200 : x
  2. Step 2: Convert to fraction form
    65,448/98,172 = 16,200/x
  3. Step 3: Cross multiply
    65,448x = 98,172 × 16,200
  4. Step 4: Simplify right side
    65,448x = 1,590,386,400
  5. Step 5: Solve for x
    x = 1,590,386,400/65,448
  6. Step 6: Final answer
    x = 24,300

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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.