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Finding the Fourth Proportional to 208,423.80, 287,623.62 and 117,809.10

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Solution

The fourth proportional to 208,423.80, 287,623.62 and 117,809.10 is: 162,575.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,423.80 : 287,623.62 = 117,809.10 : x
  2. Step 2: Convert to fraction form
    208,423.80/287,623.62 = 117,809.10/x
  3. Step 3: Cross multiply
    208,423.80x = 287,623.62 × 117,809.10
  4. Step 4: Simplify right side
    208,423.80x = 33,884,679,810.94
  5. Step 5: Solve for x
    x = 33,884,679,810.94/208,423.80
  6. Step 6: Final answer
    x = 162,575.87

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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.