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Finding the Fourth Proportional to 208,764.70, 288,109.53 and 118,120.66

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Solution

The fourth proportional to 208,764.70, 288,109.53 and 118,120.66 is: 163,014.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,764.70 : 288,109.53 = 118,120.66 : x
  2. Step 2: Convert to fraction form
    208,764.70/288,109.53 = 118,120.66/x
  3. Step 3: Cross multiply
    208,764.70x = 288,109.53 × 118,120.66
  4. Step 4: Simplify right side
    208,764.70x = 34,031,687,835.89
  5. Step 5: Solve for x
    x = 34,031,687,835.89/208,764.70
  6. Step 6: Final answer
    x = 163,014.57

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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.