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Finding the Fourth Proportional to 137,001.60, 205,362 and 87,118.56

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Solution

The fourth proportional to 137,001.60, 205,362 and 87,118.56 is: 130,588.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,001.60 : 205,362 = 87,118.56 : x
  2. Step 2: Convert to fraction form
    137,001.60/205,362 = 87,118.56/x
  3. Step 3: Cross multiply
    137,001.60x = 205,362 × 87,118.56
  4. Step 4: Simplify right side
    137,001.60x = 17,890,841,718.72
  5. Step 5: Solve for x
    x = 17,890,841,718.72/137,001.60
  6. Step 6: Final answer
    x = 130,588.56

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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.