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Finding the Fourth Proportional to 189,879.55, 284,959.51 and 90,040.08

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Solution

The fourth proportional to 189,879.55, 284,959.51 and 90,040.08 is: 135,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,879.55 : 284,959.51 = 90,040.08 : x
  2. Step 2: Convert to fraction form
    189,879.55/284,959.51 = 90,040.08/x
  3. Step 3: Cross multiply
    189,879.55x = 284,959.51 × 90,040.08
  4. Step 4: Simplify right side
    189,879.55x = 25,657,776,486.59
  5. Step 5: Solve for x
    x = 25,657,776,486.59/189,879.55
  6. Step 6: Final answer
    x = 135,126.59

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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.