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Finding the Fourth Proportional to 97,784.40, 146,457.90 and 80,288.40

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Solution

The fourth proportional to 97,784.40, 146,457.90 and 80,288.40 is: 120,253.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,784.40 : 146,457.90 = 80,288.40 : x
  2. Step 2: Convert to fraction form
    97,784.40/146,457.90 = 80,288.40/x
  3. Step 3: Cross multiply
    97,784.40x = 146,457.90 × 80,288.40
  4. Step 4: Simplify right side
    97,784.40x = 11,758,870,458.36
  5. Step 5: Solve for x
    x = 11,758,870,458.36/97,784.40
  6. Step 6: Final answer
    x = 120,253.03

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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.