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Finding the Fourth Proportional to 189,987.87, 285,060.27 and 83,316.60

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Solution

The fourth proportional to 189,987.87, 285,060.27 and 83,316.60 is: 125,009.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,987.87 : 285,060.27 = 83,316.60 : x
  2. Step 2: Convert to fraction form
    189,987.87/285,060.27 = 83,316.60/x
  3. Step 3: Cross multiply
    189,987.87x = 285,060.27 × 83,316.60
  4. Step 4: Simplify right side
    189,987.87x = 23,750,252,491.48
  5. Step 5: Solve for x
    x = 23,750,252,491.48/189,987.87
  6. Step 6: Final answer
    x = 125,009.31

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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.