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Finding the Fourth Proportional to 126,373.40, 189,507.40 and 51,442.68

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Solution

The fourth proportional to 126,373.40, 189,507.40 and 51,442.68 is: 77,142.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,373.40 : 189,507.40 = 51,442.68 : x
  2. Step 2: Convert to fraction form
    126,373.40/189,507.40 = 51,442.68/x
  3. Step 3: Cross multiply
    126,373.40x = 189,507.40 × 51,442.68
  4. Step 4: Simplify right side
    126,373.40x = 9,748,768,535.83
  5. Step 5: Solve for x
    x = 9,748,768,535.83/126,373.40
  6. Step 6: Final answer
    x = 77,142.57

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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.