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Finding the Fourth Proportional to 137,412.79, 206,086 and 57,407.52

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Solution

The fourth proportional to 137,412.79, 206,086 and 57,407.52 is: 86,097.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,412.79 : 206,086 = 57,407.52 : x
  2. Step 2: Convert to fraction form
    137,412.79/206,086 = 57,407.52/x
  3. Step 3: Cross multiply
    137,412.79x = 206,086 × 57,407.52
  4. Step 4: Simplify right side
    137,412.79x = 11,830,886,166.72
  5. Step 5: Solve for x
    x = 11,830,886,166.72/137,412.79
  6. Step 6: Final answer
    x = 86,097.42

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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.