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Finding the Fourth Proportional to 208,704, 288,011.52 and 119,281.92

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Solution

The fourth proportional to 208,704, 288,011.52 and 119,281.92 is: 164,609.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,704 : 288,011.52 = 119,281.92 : x
  2. Step 2: Convert to fraction form
    208,704/288,011.52 = 119,281.92/x
  3. Step 3: Cross multiply
    208,704x = 288,011.52 × 119,281.92
  4. Step 4: Simplify right side
    208,704x = 34,354,567,087.72
  5. Step 5: Solve for x
    x = 34,354,567,087.72/208,704
  6. Step 6: Final answer
    x = 164,609.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.