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Finding the Fourth Proportional to 65,838.98, 98,740.74 and 18,451.28

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Solution

The fourth proportional to 65,838.98, 98,740.74 and 18,451.28 is: 27,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,838.98 : 98,740.74 = 18,451.28 : x
  2. Step 2: Convert to fraction form
    65,838.98/98,740.74 = 18,451.28/x
  3. Step 3: Cross multiply
    65,838.98x = 98,740.74 × 18,451.28
  4. Step 4: Simplify right side
    65,838.98x = 1,821,893,041.15
  5. Step 5: Solve for x
    x = 1,821,893,041.15/65,838.98
  6. Step 6: Final answer
    x = 27,671.95

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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.