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Finding the Fourth Proportional to 106,574.80, 159,862.20 and 51,278.80

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Solution

The fourth proportional to 106,574.80, 159,862.20 and 51,278.80 is: 76,918.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,574.80 : 159,862.20 = 51,278.80 : x
  2. Step 2: Convert to fraction form
    106,574.80/159,862.20 = 51,278.80/x
  3. Step 3: Cross multiply
    106,574.80x = 159,862.20 × 51,278.80
  4. Step 4: Simplify right side
    106,574.80x = 8,197,541,781.36
  5. Step 5: Solve for x
    x = 8,197,541,781.36/106,574.80
  6. Step 6: Final answer
    x = 76,918.20

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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.