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Finding the Fourth Proportional to 136,797.12, 205,146.56 and 57,916.96

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Solution

The fourth proportional to 136,797.12, 205,146.56 and 57,916.96 is: 86,854.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,797.12 : 205,146.56 = 57,916.96 : x
  2. Step 2: Convert to fraction form
    136,797.12/205,146.56 = 57,916.96/x
  3. Step 3: Cross multiply
    136,797.12x = 205,146.56 × 57,916.96
  4. Step 4: Simplify right side
    136,797.12x = 11,881,465,109.66
  5. Step 5: Solve for x
    x = 11,881,465,109.66/136,797.12
  6. Step 6: Final answer
    x = 86,854.64

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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.