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Finding the Fourth Proportional to 189,881.81, 284,962.88 and 90,042.33

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Solution

The fourth proportional to 189,881.81, 284,962.88 and 90,042.33 is: 135,129.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,881.81 : 284,962.88 = 90,042.33 : x
  2. Step 2: Convert to fraction form
    189,881.81/284,962.88 = 90,042.33/x
  3. Step 3: Cross multiply
    189,881.81x = 284,962.88 × 90,042.33
  4. Step 4: Simplify right side
    189,881.81x = 25,658,721,903.82
  5. Step 5: Solve for x
    x = 25,658,721,903.82/189,881.81
  6. Step 6: Final answer
    x = 135,129.97

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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.