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Finding the Fourth Proportional to 278,029.92, 417,038.88 and 67,668.96

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Solution

The fourth proportional to 278,029.92, 417,038.88 and 67,668.96 is: 101,501.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    278,029.92 : 417,038.88 = 67,668.96 : x
  2. Step 2: Convert to fraction form
    278,029.92/417,038.88 = 67,668.96/x
  3. Step 3: Cross multiply
    278,029.92x = 417,038.88 × 67,668.96
  4. Step 4: Simplify right side
    278,029.92x = 28,220,587,289.16
  5. Step 5: Solve for x
    x = 28,220,587,289.16/278,029.92
  6. Step 6: Final answer
    x = 101,501.98

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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.