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Finding the Fourth Proportional to 137,699.66, 206,407.40 and 57,784.05

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Solution

The fourth proportional to 137,699.66, 206,407.40 and 57,784.05 is: 86,616.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,699.66 : 206,407.40 = 57,784.05 : x
  2. Step 2: Convert to fraction form
    137,699.66/206,407.40 = 57,784.05/x
  3. Step 3: Cross multiply
    137,699.66x = 206,407.40 × 57,784.05
  4. Step 4: Simplify right side
    137,699.66x = 11,927,054,201.01
  5. Step 5: Solve for x
    x = 11,927,054,201.01/137,699.66
  6. Step 6: Final answer
    x = 86,616.44

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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.