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Finding the Fourth Proportional to 209,387.77, 289,006.45 and 118,796.77

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Solution

The fourth proportional to 209,387.77, 289,006.45 and 118,796.77 is: 163,968.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,387.77 : 289,006.45 = 118,796.77 : x
  2. Step 2: Convert to fraction form
    209,387.77/289,006.45 = 118,796.77/x
  3. Step 3: Cross multiply
    209,387.77x = 289,006.45 × 118,796.77
  4. Step 4: Simplify right side
    209,387.77x = 34,333,032,769.17
  5. Step 5: Solve for x
    x = 34,333,032,769.17/209,387.77
  6. Step 6: Final answer
    x = 163,968.66

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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.