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Finding the Fourth Proportional to 98,037.12, 135,197.12 and 65,844.48

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Solution

The fourth proportional to 98,037.12, 135,197.12 and 65,844.48 is: 90,802.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,037.12 : 135,197.12 = 65,844.48 : x
  2. Step 2: Convert to fraction form
    98,037.12/135,197.12 = 65,844.48/x
  3. Step 3: Cross multiply
    98,037.12x = 135,197.12 × 65,844.48
  4. Step 4: Simplify right side
    98,037.12x = 8,901,984,063.90
  5. Step 5: Solve for x
    x = 8,901,984,063.90/98,037.12
  6. Step 6: Final answer
    x = 90,802.18

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.