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Finding the Fourth Proportional to 126,567.36, 189,834.72 and 56,430.48

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Solution

The fourth proportional to 126,567.36, 189,834.72 and 56,430.48 is: 84,638.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,567.36 : 189,834.72 = 56,430.48 : x
  2. Step 2: Convert to fraction form
    126,567.36/189,834.72 = 56,430.48/x
  3. Step 3: Cross multiply
    126,567.36x = 189,834.72 × 56,430.48
  4. Step 4: Simplify right side
    126,567.36x = 10,712,464,370.27
  5. Step 5: Solve for x
    x = 10,712,464,370.27/126,567.36
  6. Step 6: Final answer
    x = 84,638.44

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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.