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Finding the Fourth Proportional to 189,061.51, 283,296.76 and 118,793.20

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Solution

The fourth proportional to 189,061.51, 283,296.76 and 118,793.20 is: 178,004.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,061.51 : 283,296.76 = 118,793.20 : x
  2. Step 2: Convert to fraction form
    189,061.51/283,296.76 = 118,793.20/x
  3. Step 3: Cross multiply
    189,061.51x = 283,296.76 × 118,793.20
  4. Step 4: Simplify right side
    189,061.51x = 33,653,728,670.03
  5. Step 5: Solve for x
    x = 33,653,728,670.03/189,061.51
  6. Step 6: Final answer
    x = 178,004.13

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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.