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Finding the Fourth Proportional to 148,809.51, 205,358.63 and 80,827.81

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Solution

The fourth proportional to 148,809.51, 205,358.63 and 80,827.81 is: 111,543.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,809.51 : 205,358.63 = 80,827.81 : x
  2. Step 2: Convert to fraction form
    148,809.51/205,358.63 = 80,827.81/x
  3. Step 3: Cross multiply
    148,809.51x = 205,358.63 × 80,827.81
  4. Step 4: Simplify right side
    148,809.51x = 16,598,686,896.57
  5. Step 5: Solve for x
    x = 16,598,686,896.57/148,809.51
  6. Step 6: Final answer
    x = 111,543.19

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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.