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Finding the Fourth Proportional to 80,962.80, 121,249.80 and 65,410.80

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Solution

The fourth proportional to 80,962.80, 121,249.80 and 65,410.80 is: 97,959.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,962.80 : 121,249.80 = 65,410.80 : x
  2. Step 2: Convert to fraction form
    80,962.80/121,249.80 = 65,410.80/x
  3. Step 3: Cross multiply
    80,962.80x = 121,249.80 × 65,410.80
  4. Step 4: Simplify right side
    80,962.80x = 7,931,046,417.84
  5. Step 5: Solve for x
    x = 7,931,046,417.84/80,962.80
  6. Step 6: Final answer
    x = 97,959.14

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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.