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Finding the Fourth Proportional to 189,988.25, 285,060.83 and 83,316.98

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Solution

The fourth proportional to 189,988.25, 285,060.83 and 83,316.98 is: 125,009.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,988.25 : 285,060.83 = 83,316.98 : x
  2. Step 2: Convert to fraction form
    189,988.25/285,060.83 = 83,316.98/x
  3. Step 3: Cross multiply
    189,988.25x = 285,060.83 × 83,316.98
  4. Step 4: Simplify right side
    189,988.25x = 23,750,405,630.00
  5. Step 5: Solve for x
    x = 23,750,405,630.00/189,988.25
  6. Step 6: Final answer
    x = 125,009.87

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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.