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Finding the Fourth Proportional to 189,148.78, 283,764.66 and 56,039.44

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Solution

The fourth proportional to 189,148.78, 283,764.66 and 56,039.44 is: 84,071.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,148.78 : 283,764.66 = 56,039.44 : x
  2. Step 2: Convert to fraction form
    189,148.78/283,764.66 = 56,039.44/x
  3. Step 3: Cross multiply
    189,148.78x = 283,764.66 × 56,039.44
  4. Step 4: Simplify right side
    189,148.78x = 15,902,012,638.19
  5. Step 5: Solve for x
    x = 15,902,012,638.19/189,148.78
  6. Step 6: Final answer
    x = 84,071.45

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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.