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Finding the Fourth Proportional to 136,737.51, 205,080.30 and 57,907.08

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Solution

The fourth proportional to 136,737.51, 205,080.30 and 57,907.08 is: 86,849.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,737.51 : 205,080.30 = 57,907.08 : x
  2. Step 2: Convert to fraction form
    136,737.51/205,080.30 = 57,907.08/x
  3. Step 3: Cross multiply
    136,737.51x = 205,080.30 × 57,907.08
  4. Step 4: Simplify right side
    136,737.51x = 11,875,601,338.52
  5. Step 5: Solve for x
    x = 11,875,601,338.52/136,737.51
  6. Step 6: Final answer
    x = 86,849.62

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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.