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Finding the Fourth Proportional to 126,368.94, 189,490.02 and 42,099.47

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Solution

The fourth proportional to 126,368.94, 189,490.02 and 42,099.47 is: 63,128.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,368.94 : 189,490.02 = 42,099.47 : x
  2. Step 2: Convert to fraction form
    126,368.94/189,490.02 = 42,099.47/x
  3. Step 3: Cross multiply
    126,368.94x = 189,490.02 × 42,099.47
  4. Step 4: Simplify right side
    126,368.94x = 7,977,429,412.29
  5. Step 5: Solve for x
    x = 7,977,429,412.29/126,368.94
  6. Step 6: Final answer
    x = 63,128.09

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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.