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Finding the Fourth Proportional to 208,967.49, 288,374.31 and 118,329.71

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Solution

The fourth proportional to 208,967.49, 288,374.31 and 118,329.71 is: 163,294.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,967.49 : 288,374.31 = 118,329.71 : x
  2. Step 2: Convert to fraction form
    208,967.49/288,374.31 = 118,329.71/x
  3. Step 3: Cross multiply
    208,967.49x = 288,374.31 × 118,329.71
  4. Step 4: Simplify right side
    208,967.49x = 34,123,247,031.88
  5. Step 5: Solve for x
    x = 34,123,247,031.88/208,967.49
  6. Step 6: Final answer
    x = 163,294.53

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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.